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Finding the Fourth Proportional to 91,761.80, 137,729.10 and 56,769.80

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Solution

The fourth proportional to 91,761.80, 137,729.10 and 56,769.80 is: 85,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,761.80 : 137,729.10 = 56,769.80 : x
  2. Step 2: Convert to fraction form
    91,761.80/137,729.10 = 56,769.80/x
  3. Step 3: Cross multiply
    91,761.80x = 137,729.10 × 56,769.80
  4. Step 4: Simplify right side
    91,761.80x = 7,818,853,461.18
  5. Step 5: Solve for x
    x = 7,818,853,461.18/91,761.80
  6. Step 6: Final answer
    x = 85,208.15

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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.