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Finding the Fourth Proportional to 138,541.92, 207,814.93 and 91,458.54

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Solution

The fourth proportional to 138,541.92, 207,814.93 and 91,458.54 is: 137,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,541.92 : 207,814.93 = 91,458.54 : x
  2. Step 2: Convert to fraction form
    138,541.92/207,814.93 = 91,458.54/x
  3. Step 3: Cross multiply
    138,541.92x = 207,814.93 × 91,458.54
  4. Step 4: Simplify right side
    138,541.92x = 19,006,449,630.71
  5. Step 5: Solve for x
    x = 19,006,449,630.71/138,541.92
  6. Step 6: Final answer
    x = 137,189.16

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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.