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Finding the Fourth Proportional to 138,410.43, 207,541.81 and 71,685.06

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Solution

The fourth proportional to 138,410.43, 207,541.81 and 71,685.06 is: 107,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.43 : 207,541.81 = 71,685.06 : x
  2. Step 2: Convert to fraction form
    138,410.43/207,541.81 = 71,685.06/x
  3. Step 3: Cross multiply
    138,410.43x = 207,541.81 × 71,685.06
  4. Step 4: Simplify right side
    138,410.43x = 14,877,647,102.36
  5. Step 5: Solve for x
    x = 14,877,647,102.36/138,410.43
  6. Step 6: Final answer
    x = 107,489.35

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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.