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Finding the Fourth Proportional to 138,472.34, 207,743.53 and 38,632.46

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Solution

The fourth proportional to 138,472.34, 207,743.53 and 38,632.46 is: 57,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472.34 : 207,743.53 = 38,632.46 : x
  2. Step 2: Convert to fraction form
    138,472.34/207,743.53 = 38,632.46/x
  3. Step 3: Cross multiply
    138,472.34x = 207,743.53 × 38,632.46
  4. Step 4: Simplify right side
    138,472.34x = 8,025,642,574.27
  5. Step 5: Solve for x
    x = 8,025,642,574.27/138,472.34
  6. Step 6: Final answer
    x = 57,958.45

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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.