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Finding the Fourth Proportional to 81,452.28, 112,400.97 and 45,640.47

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Solution

The fourth proportional to 81,452.28, 112,400.97 and 45,640.47 is: 62,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452.28 : 112,400.97 = 45,640.47 : x
  2. Step 2: Convert to fraction form
    81,452.28/112,400.97 = 45,640.47/x
  3. Step 3: Cross multiply
    81,452.28x = 112,400.97 × 45,640.47
  4. Step 4: Simplify right side
    81,452.28x = 5,130,033,099.26
  5. Step 5: Solve for x
    x = 5,130,033,099.26/81,452.28
  6. Step 6: Final answer
    x = 62,982.07

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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.