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Finding the Fourth Proportional to 198,542.82, 297,646.62 and 86,138.28

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Solution

The fourth proportional to 198,542.82, 297,646.62 and 86,138.28 is: 129,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,542.82 : 297,646.62 = 86,138.28 : x
  2. Step 2: Convert to fraction form
    198,542.82/297,646.62 = 86,138.28/x
  3. Step 3: Cross multiply
    198,542.82x = 297,646.62 × 86,138.28
  4. Step 4: Simplify right side
    198,542.82x = 25,638,767,894.61
  5. Step 5: Solve for x
    x = 25,638,767,894.61/198,542.82
  6. Step 6: Final answer
    x = 129,134.70

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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.