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Finding the Fourth Proportional to 138,909.66, 208,364.49 and 92,253.66

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Solution

The fourth proportional to 138,909.66, 208,364.49 and 92,253.66 is: 138,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.66 : 208,364.49 = 92,253.66 : x
  2. Step 2: Convert to fraction form
    138,909.66/208,364.49 = 92,253.66/x
  3. Step 3: Cross multiply
    138,909.66x = 208,364.49 × 92,253.66
  4. Step 4: Simplify right side
    138,909.66x = 19,222,386,816.53
  5. Step 5: Solve for x
    x = 19,222,386,816.53/138,909.66
  6. Step 6: Final answer
    x = 138,380.49

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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.