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Finding the Fourth Proportional to 120,486.84, 180,714.84 and 31,747.20

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Solution

The fourth proportional to 120,486.84, 180,714.84 and 31,747.20 is: 47,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,486.84 : 180,714.84 = 31,747.20 : x
  2. Step 2: Convert to fraction form
    120,486.84/180,714.84 = 31,747.20/x
  3. Step 3: Cross multiply
    120,486.84x = 180,714.84 × 31,747.20
  4. Step 4: Simplify right side
    120,486.84x = 5,737,190,168.45
  5. Step 5: Solve for x
    x = 5,737,190,168.45/120,486.84
  6. Step 6: Final answer
    x = 47,616.74

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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.