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Finding the Fourth Proportional to 92,008.20, 137,720.70 and 65,764.20

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Solution

The fourth proportional to 92,008.20, 137,720.70 and 65,764.20 is: 98,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,008.20 : 137,720.70 = 65,764.20 : x
  2. Step 2: Convert to fraction form
    92,008.20/137,720.70 = 65,764.20/x
  3. Step 3: Cross multiply
    92,008.20x = 137,720.70 × 65,764.20
  4. Step 4: Simplify right side
    92,008.20x = 9,057,091,658.94
  5. Step 5: Solve for x
    x = 9,057,091,658.94/92,008.20
  6. Step 6: Final answer
    x = 98,437.87

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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.