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Finding the Fourth Proportional to 91,966.54, 138,124.77 and 57,149.50

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Solution

The fourth proportional to 91,966.54, 138,124.77 and 57,149.50 is: 85,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,966.54 : 138,124.77 = 57,149.50 : x
  2. Step 2: Convert to fraction form
    91,966.54/138,124.77 = 57,149.50/x
  3. Step 3: Cross multiply
    91,966.54x = 138,124.77 × 57,149.50
  4. Step 4: Simplify right side
    91,966.54x = 7,893,761,543.12
  5. Step 5: Solve for x
    x = 7,893,761,543.12/91,966.54
  6. Step 6: Final answer
    x = 85,832.97

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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.