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Finding the Fourth Proportional to 128,512.65, 192,823.65 and 81,164.10

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Solution

The fourth proportional to 128,512.65, 192,823.65 and 81,164.10 is: 121,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,512.65 : 192,823.65 = 81,164.10 : x
  2. Step 2: Convert to fraction form
    128,512.65/192,823.65 = 81,164.10/x
  3. Step 3: Cross multiply
    128,512.65x = 192,823.65 × 81,164.10
  4. Step 4: Simplify right side
    128,512.65x = 15,650,358,010.97
  5. Step 5: Solve for x
    x = 15,650,358,010.97/128,512.65
  6. Step 6: Final answer
    x = 121,780.68

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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.