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Finding the Fourth Proportional to 102,196.80, 141,034.32 and 61,902

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Solution

The fourth proportional to 102,196.80, 141,034.32 and 61,902 is: 85,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196.80 : 141,034.32 = 61,902 : x
  2. Step 2: Convert to fraction form
    102,196.80/141,034.32 = 61,902/x
  3. Step 3: Cross multiply
    102,196.80x = 141,034.32 × 61,902
  4. Step 4: Simplify right side
    102,196.80x = 8,730,306,476.64
  5. Step 5: Solve for x
    x = 8,730,306,476.64/102,196.80
  6. Step 6: Final answer
    x = 85,426.42

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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.