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Finding the Fourth Proportional to 83,458.49, 115,171.47 and 45,216.97

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Solution

The fourth proportional to 83,458.49, 115,171.47 and 45,216.97 is: 62,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458.49 : 115,171.47 = 45,216.97 : x
  2. Step 2: Convert to fraction form
    83,458.49/115,171.47 = 45,216.97/x
  3. Step 3: Cross multiply
    83,458.49x = 115,171.47 × 45,216.97
  4. Step 4: Simplify right side
    83,458.49x = 5,207,704,615.92
  5. Step 5: Solve for x
    x = 5,207,704,615.92/83,458.49
  6. Step 6: Final answer
    x = 62,398.74

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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.