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Finding the Fourth Proportional to 212,959.20, 293,978.16 and 137,544.48

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Solution

The fourth proportional to 212,959.20, 293,978.16 and 137,544.48 is: 189,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,959.20 : 293,978.16 = 137,544.48 : x
  2. Step 2: Convert to fraction form
    212,959.20/293,978.16 = 137,544.48/x
  3. Step 3: Cross multiply
    212,959.20x = 293,978.16 × 137,544.48
  4. Step 4: Simplify right side
    212,959.20x = 40,435,073,148.56
  5. Step 5: Solve for x
    x = 40,435,073,148.56/212,959.20
  6. Step 6: Final answer
    x = 189,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.