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Finding the Fourth Proportional to 83,700.28, 125,550.42 and 31,123

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Solution

The fourth proportional to 83,700.28, 125,550.42 and 31,123 is: 46,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.28 : 125,550.42 = 31,123 : x
  2. Step 2: Convert to fraction form
    83,700.28/125,550.42 = 31,123/x
  3. Step 3: Cross multiply
    83,700.28x = 125,550.42 × 31,123
  4. Step 4: Simplify right side
    83,700.28x = 3,907,505,721.66
  5. Step 5: Solve for x
    x = 3,907,505,721.66/83,700.28
  6. Step 6: Final answer
    x = 46,684.50

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1.5x scale

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.