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Finding the Fourth Proportional to 120,540.80, 180,679.84 and 102,957.28

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Solution

The fourth proportional to 120,540.80, 180,679.84 and 102,957.28 is: 154,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540.80 : 180,679.84 = 102,957.28 : x
  2. Step 2: Convert to fraction form
    120,540.80/180,679.84 = 102,957.28/x
  3. Step 3: Cross multiply
    120,540.80x = 180,679.84 × 102,957.28
  4. Step 4: Simplify right side
    120,540.80x = 18,602,304,877.24
  5. Step 5: Solve for x
    x = 18,602,304,877.24/120,540.80
  6. Step 6: Final answer
    x = 154,323.72

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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.