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Finding the Fourth Proportional to 39,115.35, 53,978.31 and 21,209.90

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Solution

The fourth proportional to 39,115.35, 53,978.31 and 21,209.90 is: 29,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115.35 : 53,978.31 = 21,209.90 : x
  2. Step 2: Convert to fraction form
    39,115.35/53,978.31 = 21,209.90/x
  3. Step 3: Cross multiply
    39,115.35x = 53,978.31 × 21,209.90
  4. Step 4: Simplify right side
    39,115.35x = 1,144,874,287.38
  5. Step 5: Solve for x
    x = 1,144,874,287.38/39,115.35
  6. Step 6: Final answer
    x = 29,269.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.