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Finding the Fourth Proportional to 138,649.28, 207,973.76 and 45,154.88

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Solution

The fourth proportional to 138,649.28, 207,973.76 and 45,154.88 is: 67,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.28 : 207,973.76 = 45,154.88 : x
  2. Step 2: Convert to fraction form
    138,649.28/207,973.76 = 45,154.88/x
  3. Step 3: Cross multiply
    138,649.28x = 207,973.76 × 45,154.88
  4. Step 4: Simplify right side
    138,649.28x = 9,391,030,175.95
  5. Step 5: Solve for x
    x = 9,391,030,175.95/138,649.28
  6. Step 6: Final answer
    x = 67,732.27

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1.5x scale

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.