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Finding the Fourth Proportional to 102,432.68, 141,474.80 and 68,381.88

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Solution

The fourth proportional to 102,432.68, 141,474.80 and 68,381.88 is: 94,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432.68 : 141,474.80 = 68,381.88 : x
  2. Step 2: Convert to fraction form
    102,432.68/141,474.80 = 68,381.88/x
  3. Step 3: Cross multiply
    102,432.68x = 141,474.80 × 68,381.88
  4. Step 4: Simplify right side
    102,432.68x = 9,674,312,796.62
  5. Step 5: Solve for x
    x = 9,674,312,796.62/102,432.68
  6. Step 6: Final answer
    x = 94,445.57

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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.