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Finding the Fourth Proportional to 84,479.52, 126,753.20 and 31,903.84

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Solution

The fourth proportional to 84,479.52, 126,753.20 and 31,903.84 is: 47,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,479.52 : 126,753.20 = 31,903.84 : x
  2. Step 2: Convert to fraction form
    84,479.52/126,753.20 = 31,903.84/x
  3. Step 3: Cross multiply
    84,479.52x = 126,753.20 × 31,903.84
  4. Step 4: Simplify right side
    84,479.52x = 4,043,913,812.29
  5. Step 5: Solve for x
    x = 4,043,913,812.29/84,479.52
  6. Step 6: Final answer
    x = 47,868.57

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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.