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Finding the Fourth Proportional to 83,686.44, 115,486.82 and 45,446.76

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Solution

The fourth proportional to 83,686.44, 115,486.82 and 45,446.76 is: 62,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686.44 : 115,486.82 = 45,446.76 : x
  2. Step 2: Convert to fraction form
    83,686.44/115,486.82 = 45,446.76/x
  3. Step 3: Cross multiply
    83,686.44x = 115,486.82 × 45,446.76
  4. Step 4: Simplify right side
    83,686.44x = 5,248,501,791.70
  5. Step 5: Solve for x
    x = 5,248,501,791.70/83,686.44
  6. Step 6: Final answer
    x = 62,716.28

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1.5x scale

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.