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Finding the Fourth Proportional to 212,478.61, 318,616.26 and 123,757.42

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Solution

The fourth proportional to 212,478.61, 318,616.26 and 123,757.42 is: 185,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,478.61 : 318,616.26 = 123,757.42 : x
  2. Step 2: Convert to fraction form
    212,478.61/318,616.26 = 123,757.42/x
  3. Step 3: Cross multiply
    212,478.61x = 318,616.26 × 123,757.42
  4. Step 4: Simplify right side
    212,478.61x = 39,431,126,307.65
  5. Step 5: Solve for x
    x = 39,431,126,307.65/212,478.61
  6. Step 6: Final answer
    x = 185,576.92

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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.