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Finding the Fourth Proportional to 83,842.80, 125,760.60 and 28,438.80

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Solution

The fourth proportional to 83,842.80, 125,760.60 and 28,438.80 is: 42,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.80 : 125,760.60 = 28,438.80 : x
  2. Step 2: Convert to fraction form
    83,842.80/125,760.60 = 28,438.80/x
  3. Step 3: Cross multiply
    83,842.80x = 125,760.60 × 28,438.80
  4. Step 4: Simplify right side
    83,842.80x = 3,576,480,551.28
  5. Step 5: Solve for x
    x = 3,576,480,551.28/83,842.80
  6. Step 6: Final answer
    x = 42,656.98

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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.