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Finding the Fourth Proportional to 85,817.76, 128,753.52 and 38,472.54

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Solution

The fourth proportional to 85,817.76, 128,753.52 and 38,472.54 is: 57,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817.76 : 128,753.52 = 38,472.54 : x
  2. Step 2: Convert to fraction form
    85,817.76/128,753.52 = 38,472.54/x
  3. Step 3: Cross multiply
    85,817.76x = 128,753.52 × 38,472.54
  4. Step 4: Simplify right side
    85,817.76x = 4,953,474,948.34
  5. Step 5: Solve for x
    x = 4,953,474,948.34/85,817.76
  6. Step 6: Final answer
    x = 57,720.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.