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Finding the Fourth Proportional to 83,661.44, 125,510.88 and 28,256

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Solution

The fourth proportional to 83,661.44, 125,510.88 and 28,256 is: 42,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,661.44 : 125,510.88 = 28,256 : x
  2. Step 2: Convert to fraction form
    83,661.44/125,510.88 = 28,256/x
  3. Step 3: Cross multiply
    83,661.44x = 125,510.88 × 28,256
  4. Step 4: Simplify right side
    83,661.44x = 3,546,435,425.28
  5. Step 5: Solve for x
    x = 3,546,435,425.28/83,661.44
  6. Step 6: Final answer
    x = 42,390.32

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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.