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Finding the Fourth Proportional to 201,078,655.20, 301,617,982.80 and 71,690,486.40

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Solution

The fourth proportional to 201,078,655.20, 301,617,982.80 and 71,690,486.40 is: 107,535,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,078,655.20 : 301,617,982.80 = 71,690,486.40 : x
  2. Step 2: Convert to fraction form
    201,078,655.20/301,617,982.80 = 71,690,486.40/x
  3. Step 3: Cross multiply
    201,078,655.20x = 301,617,982.80 × 71,690,486.40
  4. Step 4: Simplify right side
    201,078,655.20x = 21,623,139,893,918,836
  5. Step 5: Solve for x
    x = 21,623,139,893,918,836/201,078,655.20
  6. Step 6: Final answer
    x = 107,535,729.60

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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.