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Finding the Fourth Proportional to 71,394.32, 107,069.34 and 57,321.20

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Solution

The fourth proportional to 71,394.32, 107,069.34 and 57,321.20 is: 85,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394.32 : 107,069.34 = 57,321.20 : x
  2. Step 2: Convert to fraction form
    71,394.32/107,069.34 = 57,321.20/x
  3. Step 3: Cross multiply
    71,394.32x = 107,069.34 × 57,321.20
  4. Step 4: Simplify right side
    71,394.32x = 6,137,343,052.01
  5. Step 5: Solve for x
    x = 6,137,343,052.01/71,394.32
  6. Step 6: Final answer
    x = 85,964.02

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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.