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Finding the Fourth Proportional to 81,380, 112,294.95 and 47,395.91

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Solution

The fourth proportional to 81,380, 112,294.95 and 47,395.91 is: 65,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,380 : 112,294.95 = 47,395.91 : x
  2. Step 2: Convert to fraction form
    81,380/112,294.95 = 47,395.91/x
  3. Step 3: Cross multiply
    81,380x = 112,294.95 × 47,395.91
  4. Step 4: Simplify right side
    81,380x = 5,322,321,343.65
  5. Step 5: Solve for x
    x = 5,322,321,343.65/81,380
  6. Step 6: Final answer
    x = 65,400.85

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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.