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Finding the Fourth Proportional to 128,358.54, 192,377.25 and 61,780.86

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Solution

The fourth proportional to 128,358.54, 192,377.25 and 61,780.86 is: 92,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,358.54 : 192,377.25 = 61,780.86 : x
  2. Step 2: Convert to fraction form
    128,358.54/192,377.25 = 61,780.86/x
  3. Step 3: Cross multiply
    128,358.54x = 192,377.25 × 61,780.86
  4. Step 4: Simplify right side
    128,358.54x = 11,885,231,949.44
  5. Step 5: Solve for x
    x = 11,885,231,949.44/128,358.54
  6. Step 6: Final answer
    x = 92,594.01

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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.