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Finding the Fourth Proportional to 81,257.38, 112,135.44 and 45,448

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Solution

The fourth proportional to 81,257.38, 112,135.44 and 45,448 is: 62,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,257.38 : 112,135.44 = 45,448 : x
  2. Step 2: Convert to fraction form
    81,257.38/112,135.44 = 45,448/x
  3. Step 3: Cross multiply
    81,257.38x = 112,135.44 × 45,448
  4. Step 4: Simplify right side
    81,257.38x = 5,096,331,477.12
  5. Step 5: Solve for x
    x = 5,096,331,477.12/81,257.38
  6. Step 6: Final answer
    x = 62,718.38

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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.