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Finding the Fourth Proportional to 78,734.30, 118,101.45 and 32,020.70

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Solution

The fourth proportional to 78,734.30, 118,101.45 and 32,020.70 is: 48,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,734.30 : 118,101.45 = 32,020.70 : x
  2. Step 2: Convert to fraction form
    78,734.30/118,101.45 = 32,020.70/x
  3. Step 3: Cross multiply
    78,734.30x = 118,101.45 × 32,020.70
  4. Step 4: Simplify right side
    78,734.30x = 3,781,691,100.02
  5. Step 5: Solve for x
    x = 3,781,691,100.02/78,734.30
  6. Step 6: Final answer
    x = 48,031.05

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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.