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Finding the Fourth Proportional to 83,208.71, 114,815.18 and 47,394.15

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Solution

The fourth proportional to 83,208.71, 114,815.18 and 47,394.15 is: 65,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208.71 : 114,815.18 = 47,394.15 : x
  2. Step 2: Convert to fraction form
    83,208.71/114,815.18 = 47,394.15/x
  3. Step 3: Cross multiply
    83,208.71x = 114,815.18 × 47,394.15
  4. Step 4: Simplify right side
    83,208.71x = 5,441,567,626.23
  5. Step 5: Solve for x
    x = 5,441,567,626.23/83,208.71
  6. Step 6: Final answer
    x = 65,396.61

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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.