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Finding the Fourth Proportional to 154,162.64, 231,240.72 and 71,056.64

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Solution

The fourth proportional to 154,162.64, 231,240.72 and 71,056.64 is: 106,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,162.64 : 231,240.72 = 71,056.64 : x
  2. Step 2: Convert to fraction form
    154,162.64/231,240.72 = 71,056.64/x
  3. Step 3: Cross multiply
    154,162.64x = 231,240.72 × 71,056.64
  4. Step 4: Simplify right side
    154,162.64x = 16,431,188,594.38
  5. Step 5: Solve for x
    x = 16,431,188,594.38/154,162.64
  6. Step 6: Final answer
    x = 106,583.47

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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.