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Finding the Fourth Proportional to 83,706.57, 115,514.73 and 45,465.81

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Solution

The fourth proportional to 83,706.57, 115,514.73 and 45,465.81 is: 62,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.57 : 115,514.73 = 45,465.81 : x
  2. Step 2: Convert to fraction form
    83,706.57/115,514.73 = 45,465.81/x
  3. Step 3: Cross multiply
    83,706.57x = 115,514.73 × 45,465.81
  4. Step 4: Simplify right side
    83,706.57x = 5,251,970,715.75
  5. Step 5: Solve for x
    x = 5,251,970,715.75/83,706.57
  6. Step 6: Final answer
    x = 62,742.63

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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.