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Finding the Fourth Proportional to 138,649.12, 207,941.76 and 38,816.48

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Solution

The fourth proportional to 138,649.12, 207,941.76 and 38,816.48 is: 58,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.12 : 207,941.76 = 38,816.48 : x
  2. Step 2: Convert to fraction form
    138,649.12/207,941.76 = 38,816.48/x
  3. Step 3: Cross multiply
    138,649.12x = 207,941.76 × 38,816.48
  4. Step 4: Simplify right side
    138,649.12x = 8,071,567,168.20
  5. Step 5: Solve for x
    x = 8,071,567,168.20/138,649.12
  6. Step 6: Final answer
    x = 58,215.78

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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.