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Finding the Fourth Proportional to 70,876.57, 106,314.93 and 66,546.31

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Solution

The fourth proportional to 70,876.57, 106,314.93 and 66,546.31 is: 99,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.57 : 106,314.93 = 66,546.31 : x
  2. Step 2: Convert to fraction form
    70,876.57/106,314.93 = 66,546.31/x
  3. Step 3: Cross multiply
    70,876.57x = 106,314.93 × 66,546.31
  4. Step 4: Simplify right side
    70,876.57x = 7,074,866,222.96
  5. Step 5: Solve for x
    x = 7,074,866,222.96/70,876.57
  6. Step 6: Final answer
    x = 99,819.54

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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.