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Finding the Fourth Proportional to 78,540, 117,833.20 and 45,283.92

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Solution

The fourth proportional to 78,540, 117,833.20 and 45,283.92 is: 67,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540 : 117,833.20 = 45,283.92 : x
  2. Step 2: Convert to fraction form
    78,540/117,833.20 = 45,283.92/x
  3. Step 3: Cross multiply
    78,540x = 117,833.20 × 45,283.92
  4. Step 4: Simplify right side
    78,540x = 5,335,949,202.14
  5. Step 5: Solve for x
    x = 5,335,949,202.14/78,540
  6. Step 6: Final answer
    x = 67,939.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.