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Finding the Fourth Proportional to 78,649.32, 117,954.18 and 22,489.71

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Solution

The fourth proportional to 78,649.32, 117,954.18 and 22,489.71 is: 33,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.32 : 117,954.18 = 22,489.71 : x
  2. Step 2: Convert to fraction form
    78,649.32/117,954.18 = 22,489.71/x
  3. Step 3: Cross multiply
    78,649.32x = 117,954.18 × 22,489.71
  4. Step 4: Simplify right side
    78,649.32x = 2,652,755,301.49
  5. Step 5: Solve for x
    x = 2,652,755,301.49/78,649.32
  6. Step 6: Final answer
    x = 33,728.90

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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.