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Finding the Fourth Proportional to 81,706.60, 112,759.14 and 45,894.76

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Solution

The fourth proportional to 81,706.60, 112,759.14 and 45,894.76 is: 63,337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.60 : 112,759.14 = 45,894.76 : x
  2. Step 2: Convert to fraction form
    81,706.60/112,759.14 = 45,894.76/x
  3. Step 3: Cross multiply
    81,706.60x = 112,759.14 × 45,894.76
  4. Step 4: Simplify right side
    81,706.60x = 5,175,053,668.11
  5. Step 5: Solve for x
    x = 5,175,053,668.11/81,706.60
  6. Step 6: Final answer
    x = 63,337.03

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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.