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Finding the Fourth Proportional to 154,159.65, 231,236.19 and 71,053.65

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Solution

The fourth proportional to 154,159.65, 231,236.19 and 71,053.65 is: 106,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,159.65 : 231,236.19 = 71,053.65 : x
  2. Step 2: Convert to fraction form
    154,159.65/231,236.19 = 71,053.65/x
  3. Step 3: Cross multiply
    154,159.65x = 231,236.19 × 71,053.65
  4. Step 4: Simplify right side
    154,159.65x = 16,430,175,311.59
  5. Step 5: Solve for x
    x = 16,430,175,311.59/154,159.65
  6. Step 6: Final answer
    x = 106,578.96

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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.