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Finding the Fourth Proportional to 138,188.57, 207,282.14 and 119,411.55

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Solution

The fourth proportional to 138,188.57, 207,282.14 and 119,411.55 is: 179,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,188.57 : 207,282.14 = 119,411.55 : x
  2. Step 2: Convert to fraction form
    138,188.57/207,282.14 = 119,411.55/x
  3. Step 3: Cross multiply
    138,188.57x = 207,282.14 × 119,411.55
  4. Step 4: Simplify right side
    138,188.57x = 24,751,881,475.45
  5. Step 5: Solve for x
    x = 24,751,881,475.45/138,188.57
  6. Step 6: Final answer
    x = 179,116.71

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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.