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Finding the Fourth Proportional to 84,282.86, 126,442.66 and 24,311

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Solution

The fourth proportional to 84,282.86, 126,442.66 and 24,311 is: 36,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.86 : 126,442.66 = 24,311 : x
  2. Step 2: Convert to fraction form
    84,282.86/126,442.66 = 24,311/x
  3. Step 3: Cross multiply
    84,282.86x = 126,442.66 × 24,311
  4. Step 4: Simplify right side
    84,282.86x = 3,073,947,507.26
  5. Step 5: Solve for x
    x = 3,073,947,507.26/84,282.86
  6. Step 6: Final answer
    x = 36,471.80

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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.