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Finding the Fourth Proportional to 138,293.94, 207,505.50 and 71,697.78

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Solution

The fourth proportional to 138,293.94, 207,505.50 and 71,697.78 is: 107,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,293.94 : 207,505.50 = 71,697.78 : x
  2. Step 2: Convert to fraction form
    138,293.94/207,505.50 = 71,697.78/x
  3. Step 3: Cross multiply
    138,293.94x = 207,505.50 × 71,697.78
  4. Step 4: Simplify right side
    138,293.94x = 14,877,683,687.79
  5. Step 5: Solve for x
    x = 14,877,683,687.79/138,293.94
  6. Step 6: Final answer
    x = 107,580.16

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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.