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Finding the Fourth Proportional to 154,252.60, 231,378.90 and 71,146.60

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Solution

The fourth proportional to 154,252.60, 231,378.90 and 71,146.60 is: 106,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,252.60 : 231,378.90 = 71,146.60 : x
  2. Step 2: Convert to fraction form
    154,252.60/231,378.90 = 71,146.60/x
  3. Step 3: Cross multiply
    154,252.60x = 231,378.90 × 71,146.60
  4. Step 4: Simplify right side
    154,252.60x = 16,461,822,046.74
  5. Step 5: Solve for x
    x = 16,461,822,046.74/154,252.60
  6. Step 6: Final answer
    x = 106,719.90

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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.