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Finding the Fourth Proportional to 141,892.97, 195,813.65 and 78,233.04

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Solution

The fourth proportional to 141,892.97, 195,813.65 and 78,233.04 is: 107,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,892.97 : 195,813.65 = 78,233.04 : x
  2. Step 2: Convert to fraction form
    141,892.97/195,813.65 = 78,233.04/x
  3. Step 3: Cross multiply
    141,892.97x = 195,813.65 × 78,233.04
  4. Step 4: Simplify right side
    141,892.97x = 15,319,097,308.58
  5. Step 5: Solve for x
    x = 15,319,097,308.58/141,892.97
  6. Step 6: Final answer
    x = 107,962.35

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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.