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Finding the Fourth Proportional to 91,992.70, 137,697.45 and 65,748.70

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Solution

The fourth proportional to 91,992.70, 137,697.45 and 65,748.70 is: 98,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,992.70 : 137,697.45 = 65,748.70 : x
  2. Step 2: Convert to fraction form
    91,992.70/137,697.45 = 65,748.70/x
  3. Step 3: Cross multiply
    91,992.70x = 137,697.45 × 65,748.70
  4. Step 4: Simplify right side
    91,992.70x = 9,053,428,330.82
  5. Step 5: Solve for x
    x = 9,053,428,330.82/91,992.70
  6. Step 6: Final answer
    x = 98,414.64

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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.