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Finding the Fourth Proportional to 138,483.96, 207,760.89 and 38,644.07

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Solution

The fourth proportional to 138,483.96, 207,760.89 and 38,644.07 is: 57,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,483.96 : 207,760.89 = 38,644.07 : x
  2. Step 2: Convert to fraction form
    138,483.96/207,760.89 = 38,644.07/x
  3. Step 3: Cross multiply
    138,483.96x = 207,760.89 × 38,644.07
  4. Step 4: Simplify right side
    138,483.96x = 8,028,726,376.42
  5. Step 5: Solve for x
    x = 8,028,726,376.42/138,483.96
  6. Step 6: Final answer
    x = 57,975.86

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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.