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Finding the Fourth Proportional to 128,201.92, 192,402.08 and 83,816.64

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Solution

The fourth proportional to 128,201.92, 192,402.08 and 83,816.64 is: 125,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.92 : 192,402.08 = 83,816.64 : x
  2. Step 2: Convert to fraction form
    128,201.92/192,402.08 = 83,816.64/x
  3. Step 3: Cross multiply
    128,201.92x = 192,402.08 × 83,816.64
  4. Step 4: Simplify right side
    128,201.92x = 16,126,495,874.61
  5. Step 5: Solve for x
    x = 16,126,495,874.61/128,201.92
  6. Step 6: Final answer
    x = 125,789.82

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1.5x scale

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.