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Finding the Fourth Proportional to 81,674.97, 112,720.74 and 47,691.93

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Solution

The fourth proportional to 81,674.97, 112,720.74 and 47,691.93 is: 65,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,674.97 : 112,720.74 = 47,691.93 : x
  2. Step 2: Convert to fraction form
    81,674.97/112,720.74 = 47,691.93/x
  3. Step 3: Cross multiply
    81,674.97x = 112,720.74 × 47,691.93
  4. Step 4: Simplify right side
    81,674.97x = 5,375,869,641.63
  5. Step 5: Solve for x
    x = 5,375,869,641.63/81,674.97
  6. Step 6: Final answer
    x = 65,820.28

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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.