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Finding the Fourth Proportional to 83,540.76, 115,286.40 and 45,815.28

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Solution

The fourth proportional to 83,540.76, 115,286.40 and 45,815.28 is: 63,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.76 : 115,286.40 = 45,815.28 : x
  2. Step 2: Convert to fraction form
    83,540.76/115,286.40 = 45,815.28/x
  3. Step 3: Cross multiply
    83,540.76x = 115,286.40 × 45,815.28
  4. Step 4: Simplify right side
    83,540.76x = 5,281,878,696.19
  5. Step 5: Solve for x
    x = 5,281,878,696.19/83,540.76
  6. Step 6: Final answer
    x = 63,225.17

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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.