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Finding the Fourth Proportional to 71,034.60, 106,422.30 and 43,300.20

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Solution

The fourth proportional to 71,034.60, 106,422.30 and 43,300.20 is: 64,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.60 : 106,422.30 = 43,300.20 : x
  2. Step 2: Convert to fraction form
    71,034.60/106,422.30 = 43,300.20/x
  3. Step 3: Cross multiply
    71,034.60x = 106,422.30 × 43,300.20
  4. Step 4: Simplify right side
    71,034.60x = 4,608,106,874.46
  5. Step 5: Solve for x
    x = 4,608,106,874.46/71,034.60
  6. Step 6: Final answer
    x = 64,871.30

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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.