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Finding the Fourth Proportional to 91,473.87, 137,206.65 and 38,143.86

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Solution

The fourth proportional to 91,473.87, 137,206.65 and 38,143.86 is: 57,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,473.87 : 137,206.65 = 38,143.86 : x
  2. Step 2: Convert to fraction form
    91,473.87/137,206.65 = 38,143.86/x
  3. Step 3: Cross multiply
    91,473.87x = 137,206.65 × 38,143.86
  4. Step 4: Simplify right side
    91,473.87x = 5,233,591,248.67
  5. Step 5: Solve for x
    x = 5,233,591,248.67/91,473.87
  6. Step 6: Final answer
    x = 57,214.06

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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.