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Finding the Fourth Proportional to 84,642.86, 126,854.93 and 40,283.21

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Solution

The fourth proportional to 84,642.86, 126,854.93 and 40,283.21 is: 60,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.86 : 126,854.93 = 40,283.21 : x
  2. Step 2: Convert to fraction form
    84,642.86/126,854.93 = 40,283.21/x
  3. Step 3: Cross multiply
    84,642.86x = 126,854.93 × 40,283.21
  4. Step 4: Simplify right side
    84,642.86x = 5,110,123,251.16
  5. Step 5: Solve for x
    x = 5,110,123,251.16/84,642.86
  6. Step 6: Final answer
    x = 60,372.77

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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.