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Finding the Fourth Proportional to 138,936.96, 208,487.25 and 96,275.88

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Solution

The fourth proportional to 138,936.96, 208,487.25 and 96,275.88 is: 144,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,936.96 : 208,487.25 = 96,275.88 : x
  2. Step 2: Convert to fraction form
    138,936.96/208,487.25 = 96,275.88/x
  3. Step 3: Cross multiply
    138,936.96x = 208,487.25 × 96,275.88
  4. Step 4: Simplify right side
    138,936.96x = 20,072,293,462.53
  5. Step 5: Solve for x
    x = 20,072,293,462.53/138,936.96
  6. Step 6: Final answer
    x = 144,470.51

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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.