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Finding the Fourth Proportional to 141,892.89, 195,813.51 and 78,232.95

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Solution

The fourth proportional to 141,892.89, 195,813.51 and 78,232.95 is: 107,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,892.89 : 195,813.51 = 78,232.95 : x
  2. Step 2: Convert to fraction form
    141,892.89/195,813.51 = 78,232.95/x
  3. Step 3: Cross multiply
    141,892.89x = 195,813.51 × 78,232.95
  4. Step 4: Simplify right side
    141,892.89x = 15,319,068,537.15
  5. Step 5: Solve for x
    x = 15,319,068,537.15/141,892.89
  6. Step 6: Final answer
    x = 107,962.20

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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.