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Finding the Fourth Proportional to 78,540.64, 117,819.16 and 45,298.24

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Solution

The fourth proportional to 78,540.64, 117,819.16 and 45,298.24 is: 67,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.64 : 117,819.16 = 45,298.24 : x
  2. Step 2: Convert to fraction form
    78,540.64/117,819.16 = 45,298.24/x
  3. Step 3: Cross multiply
    78,540.64x = 117,819.16 × 45,298.24
  4. Step 4: Simplify right side
    78,540.64x = 5,337,000,178.48
  5. Step 5: Solve for x
    x = 5,337,000,178.48/78,540.64
  6. Step 6: Final answer
    x = 67,952.09

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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.