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Finding the Fourth Proportional to 83,000, 114,540.37 and 45,275.06

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Solution

The fourth proportional to 83,000, 114,540.37 and 45,275.06 is: 62,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000 : 114,540.37 = 45,275.06 : x
  2. Step 2: Convert to fraction form
    83,000/114,540.37 = 45,275.06/x
  3. Step 3: Cross multiply
    83,000x = 114,540.37 × 45,275.06
  4. Step 4: Simplify right side
    83,000x = 5,185,821,897.80
  5. Step 5: Solve for x
    x = 5,185,821,897.80/83,000
  6. Step 6: Final answer
    x = 62,479.78

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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.