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Finding the Fourth Proportional to 81,194.93, 112,049.13 and 45,384.91

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Solution

The fourth proportional to 81,194.93, 112,049.13 and 45,384.91 is: 62,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194.93 : 112,049.13 = 45,384.91 : x
  2. Step 2: Convert to fraction form
    81,194.93/112,049.13 = 45,384.91/x
  3. Step 3: Cross multiply
    81,194.93x = 112,049.13 × 45,384.91
  4. Step 4: Simplify right side
    81,194.93x = 5,085,339,570.70
  5. Step 5: Solve for x
    x = 5,085,339,570.70/81,194.93
  6. Step 6: Final answer
    x = 62,631.25

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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.