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Finding the Fourth Proportional to 154,231.52, 231,347.20 and 43,423.52

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Solution

The fourth proportional to 154,231.52, 231,347.20 and 43,423.52 is: 65,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,231.52 : 231,347.20 = 43,423.52 : x
  2. Step 2: Convert to fraction form
    154,231.52/231,347.20 = 43,423.52/x
  3. Step 3: Cross multiply
    154,231.52x = 231,347.20 × 43,423.52
  4. Step 4: Simplify right side
    154,231.52x = 10,045,909,766.14
  5. Step 5: Solve for x
    x = 10,045,909,766.14/154,231.52
  6. Step 6: Final answer
    x = 65,135.26

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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.