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Finding the Fourth Proportional to 83,947.38, 115,851.66 and 47,651.39

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Solution

The fourth proportional to 83,947.38, 115,851.66 and 47,651.39 is: 65,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,947.38 : 115,851.66 = 47,651.39 : x
  2. Step 2: Convert to fraction form
    83,947.38/115,851.66 = 47,651.39/x
  3. Step 3: Cross multiply
    83,947.38x = 115,851.66 × 47,651.39
  4. Step 4: Simplify right side
    83,947.38x = 5,520,492,632.81
  5. Step 5: Solve for x
    x = 5,520,492,632.81/83,947.38
  6. Step 6: Final answer
    x = 65,761.35

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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.