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Finding the Fourth Proportional to 83,440, 125,158.64 and 20,260.64

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Solution

The fourth proportional to 83,440, 125,158.64 and 20,260.64 is: 30,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,440 : 125,158.64 = 20,260.64 : x
  2. Step 2: Convert to fraction form
    83,440/125,158.64 = 20,260.64/x
  3. Step 3: Cross multiply
    83,440x = 125,158.64 × 20,260.64
  4. Step 4: Simplify right side
    83,440x = 2,535,794,147.93
  5. Step 5: Solve for x
    x = 2,535,794,147.93/83,440
  6. Step 6: Final answer
    x = 30,390.63

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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.