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Finding the Fourth Proportional to 198,139.62, 297,254.74 and 85,838.52

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Solution

The fourth proportional to 198,139.62, 297,254.74 and 85,838.52 is: 128,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,139.62 : 297,254.74 = 85,838.52 : x
  2. Step 2: Convert to fraction form
    198,139.62/297,254.74 = 85,838.52/x
  3. Step 3: Cross multiply
    198,139.62x = 297,254.74 × 85,838.52
  4. Step 4: Simplify right side
    198,139.62x = 25,515,906,944.58
  5. Step 5: Solve for x
    x = 25,515,906,944.58/198,139.62
  6. Step 6: Final answer
    x = 128,777.41

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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.