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Finding the Fourth Proportional to 71,034.60, 106,422.30 and 57,815.40

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Solution

The fourth proportional to 71,034.60, 106,422.30 and 57,815.40 is: 86,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.60 : 106,422.30 = 57,815.40 : x
  2. Step 2: Convert to fraction form
    71,034.60/106,422.30 = 57,815.40/x
  3. Step 3: Cross multiply
    71,034.60x = 106,422.30 × 57,815.40
  4. Step 4: Simplify right side
    71,034.60x = 6,152,847,843.42
  5. Step 5: Solve for x
    x = 6,152,847,843.42/71,034.60
  6. Step 6: Final answer
    x = 86,617.62

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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.