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Finding the Fourth Proportional to 212,552.92, 318,664.12 and 137,514.52

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Solution

The fourth proportional to 212,552.92, 318,664.12 and 137,514.52 is: 206,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,552.92 : 318,664.12 = 137,514.52 : x
  2. Step 2: Convert to fraction form
    212,552.92/318,664.12 = 137,514.52/x
  3. Step 3: Cross multiply
    212,552.92x = 318,664.12 × 137,514.52
  4. Step 4: Simplify right side
    212,552.92x = 43,820,943,503.02
  5. Step 5: Solve for x
    x = 43,820,943,503.02/212,552.92
  6. Step 6: Final answer
    x = 206,164.86

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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.