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Finding the Fourth Proportional to 120,411.60, 180,444.60 and 88,573.20

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Solution

The fourth proportional to 120,411.60, 180,444.60 and 88,573.20 is: 132,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411.60 : 180,444.60 = 88,573.20 : x
  2. Step 2: Convert to fraction form
    120,411.60/180,444.60 = 88,573.20/x
  3. Step 3: Cross multiply
    120,411.60x = 180,444.60 × 88,573.20
  4. Step 4: Simplify right side
    120,411.60x = 15,982,555,644.72
  5. Step 5: Solve for x
    x = 15,982,555,644.72/120,411.60
  6. Step 6: Final answer
    x = 132,732.69

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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.