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Finding the Fourth Proportional to 135,100.78, 202,587.48 and 78,957.04

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Solution

The fourth proportional to 135,100.78, 202,587.48 and 78,957.04 is: 118,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,100.78 : 202,587.48 = 78,957.04 : x
  2. Step 2: Convert to fraction form
    135,100.78/202,587.48 = 78,957.04/x
  3. Step 3: Cross multiply
    135,100.78x = 202,587.48 × 78,957.04
  4. Step 4: Simplify right side
    135,100.78x = 15,995,707,761.86
  5. Step 5: Solve for x
    x = 15,995,707,761.86/135,100.78
  6. Step 6: Final answer
    x = 118,398.34

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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.