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Finding the Fourth Proportional to 205,200.78, 283,294.89 and 156,419.76

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Solution

The fourth proportional to 205,200.78, 283,294.89 and 156,419.76 is: 215,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200.78 : 283,294.89 = 156,419.76 : x
  2. Step 2: Convert to fraction form
    205,200.78/283,294.89 = 156,419.76/x
  3. Step 3: Cross multiply
    205,200.78x = 283,294.89 × 156,419.76
  4. Step 4: Simplify right side
    205,200.78x = 44,312,918,703.03
  5. Step 5: Solve for x
    x = 44,312,918,703.03/205,200.78
  6. Step 6: Final answer
    x = 215,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.