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Finding the Fourth Proportional to 81,443.63, 112,392.13 and 45,633.90

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Solution

The fourth proportional to 81,443.63, 112,392.13 and 45,633.90 is: 62,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,443.63 : 112,392.13 = 45,633.90 : x
  2. Step 2: Convert to fraction form
    81,443.63/112,392.13 = 45,633.90/x
  3. Step 3: Cross multiply
    81,443.63x = 112,392.13 × 45,633.90
  4. Step 4: Simplify right side
    81,443.63x = 5,128,891,221.21
  5. Step 5: Solve for x
    x = 5,128,891,221.21/81,443.63
  6. Step 6: Final answer
    x = 62,974.74

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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.