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Finding the Fourth Proportional to 84,229.68, 126,143.08 and 48,582.94

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Solution

The fourth proportional to 84,229.68, 126,143.08 and 48,582.94 is: 72,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,229.68 : 126,143.08 = 48,582.94 : x
  2. Step 2: Convert to fraction form
    84,229.68/126,143.08 = 48,582.94/x
  3. Step 3: Cross multiply
    84,229.68x = 126,143.08 × 48,582.94
  4. Step 4: Simplify right side
    84,229.68x = 6,128,401,687.06
  5. Step 5: Solve for x
    x = 6,128,401,687.06/84,229.68
  6. Step 6: Final answer
    x = 72,758.22

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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.