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Finding the Fourth Proportional to 57,155.70, 85,731.03 and 15,602.70

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Solution

The fourth proportional to 57,155.70, 85,731.03 and 15,602.70 is: 23,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.70 : 85,731.03 = 15,602.70 : x
  2. Step 2: Convert to fraction form
    57,155.70/85,731.03 = 15,602.70/x
  3. Step 3: Cross multiply
    57,155.70x = 85,731.03 × 15,602.70
  4. Step 4: Simplify right side
    57,155.70x = 1,337,635,541.78
  5. Step 5: Solve for x
    x = 1,337,635,541.78/57,155.70
  6. Step 6: Final answer
    x = 23,403.36

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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.