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Finding the Fourth Proportional to 102,432, 141,358.40 and 57,720

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Solution

The fourth proportional to 102,432, 141,358.40 and 57,720 is: 79,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432 : 141,358.40 = 57,720 : x
  2. Step 2: Convert to fraction form
    102,432/141,358.40 = 57,720/x
  3. Step 3: Cross multiply
    102,432x = 141,358.40 × 57,720
  4. Step 4: Simplify right side
    102,432x = 8,159,206,848
  5. Step 5: Solve for x
    x = 8,159,206,848/102,432
  6. Step 6: Final answer
    x = 79,654.86

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