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Finding the Fourth Proportional to 201,107.40, 301,661.10 and 82,739.40

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Solution

The fourth proportional to 201,107.40, 301,661.10 and 82,739.40 is: 124,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.40 : 301,661.10 = 82,739.40 : x
  2. Step 2: Convert to fraction form
    201,107.40/301,661.10 = 82,739.40/x
  3. Step 3: Cross multiply
    201,107.40x = 301,661.10 × 82,739.40
  4. Step 4: Simplify right side
    201,107.40x = 24,959,258,417.34
  5. Step 5: Solve for x
    x = 24,959,258,417.34/201,107.40
  6. Step 6: Final answer
    x = 124,109.10

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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.