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Finding the Fourth Proportional to 201,204,713.60, 301,807,070.40 and 139,982,710.40

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Solution

The fourth proportional to 201,204,713.60, 301,807,070.40 and 139,982,710.40 is: 209,974,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,713.60 : 301,807,070.40 = 139,982,710.40 : x
  2. Step 2: Convert to fraction form
    201,204,713.60/301,807,070.40 = 139,982,710.40/x
  3. Step 3: Cross multiply
    201,204,713.60x = 301,807,070.40 × 139,982,710.40
  4. Step 4: Simplify right side
    201,204,713.60x = 42,247,771,732,475,608
  5. Step 5: Solve for x
    x = 42,247,771,732,475,608/201,204,713.60
  6. Step 6: Final answer
    x = 209,974,065.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.