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Finding the Fourth Proportional to 214,049.76, 319,772.88 and 138,554.88

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Solution

The fourth proportional to 214,049.76, 319,772.88 and 138,554.88 is: 206,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.76 : 319,772.88 = 138,554.88 : x
  2. Step 2: Convert to fraction form
    214,049.76/319,772.88 = 138,554.88/x
  3. Step 3: Cross multiply
    214,049.76x = 319,772.88 × 138,554.88
  4. Step 4: Simplify right side
    214,049.76x = 44,306,093,015.65
  5. Step 5: Solve for x
    x = 44,306,093,015.65/214,049.76
  6. Step 6: Final answer
    x = 206,989.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.