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Finding the Fourth Proportional to 70,978.60, 106,246.41 and 52,279.75

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Solution

The fourth proportional to 70,978.60, 106,246.41 and 52,279.75 is: 78,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.60 : 106,246.41 = 52,279.75 : x
  2. Step 2: Convert to fraction form
    70,978.60/106,246.41 = 52,279.75/x
  3. Step 3: Cross multiply
    70,978.60x = 106,246.41 × 52,279.75
  4. Step 4: Simplify right side
    70,978.60x = 5,554,535,753.20
  5. Step 5: Solve for x
    x = 5,554,535,753.20/70,978.60
  6. Step 6: Final answer
    x = 78,256.49

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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.