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Finding the Fourth Proportional to 78,508.28, 117,798.06 and 71,863.88

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Solution

The fourth proportional to 78,508.28, 117,798.06 and 71,863.88 is: 107,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.28 : 117,798.06 = 71,863.88 : x
  2. Step 2: Convert to fraction form
    78,508.28/117,798.06 = 71,863.88/x
  3. Step 3: Cross multiply
    78,508.28x = 117,798.06 × 71,863.88
  4. Step 4: Simplify right side
    78,508.28x = 8,465,425,648.07
  5. Step 5: Solve for x
    x = 8,465,425,648.07/78,508.28
  6. Step 6: Final answer
    x = 107,828.44

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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.