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Finding the Fourth Proportional to 159,432, 220,016.16 and 92,402.88

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Solution

The fourth proportional to 159,432, 220,016.16 and 92,402.88 is: 127,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,432 : 220,016.16 = 92,402.88 : x
  2. Step 2: Convert to fraction form
    159,432/220,016.16 = 92,402.88/x
  3. Step 3: Cross multiply
    159,432x = 220,016.16 × 92,402.88
  4. Step 4: Simplify right side
    159,432x = 20,330,126,830.54
  5. Step 5: Solve for x
    x = 20,330,126,830.54/159,432
  6. Step 6: Final answer
    x = 127,515.97

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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.