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Finding the Fourth Proportional to 81,491.57, 112,458.76 and 47,523.61

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Solution

The fourth proportional to 81,491.57, 112,458.76 and 47,523.61 is: 65,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,491.57 : 112,458.76 = 47,523.61 : x
  2. Step 2: Convert to fraction form
    81,491.57/112,458.76 = 47,523.61/x
  3. Step 3: Cross multiply
    81,491.57x = 112,458.76 × 47,523.61
  4. Step 4: Simplify right side
    81,491.57x = 5,344,445,689.03
  5. Step 5: Solve for x
    x = 5,344,445,689.03/81,491.57
  6. Step 6: Final answer
    x = 65,582.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.