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Finding the Fourth Proportional to 120,168.80, 180,264 and 31,420.88

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Solution

The fourth proportional to 120,168.80, 180,264 and 31,420.88 is: 47,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.80 : 180,264 = 31,420.88 : x
  2. Step 2: Convert to fraction form
    120,168.80/180,264 = 31,420.88/x
  3. Step 3: Cross multiply
    120,168.80x = 180,264 × 31,420.88
  4. Step 4: Simplify right side
    120,168.80x = 5,664,053,512.32
  5. Step 5: Solve for x
    x = 5,664,053,512.32/120,168.80
  6. Step 6: Final answer
    x = 47,134.14

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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.