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Finding the Fourth Proportional to 206,975.76, 310,398.84 and 137,225.04

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Solution

The fourth proportional to 206,975.76, 310,398.84 and 137,225.04 is: 205,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,975.76 : 310,398.84 = 137,225.04 : x
  2. Step 2: Convert to fraction form
    206,975.76/310,398.84 = 137,225.04/x
  3. Step 3: Cross multiply
    206,975.76x = 310,398.84 × 137,225.04
  4. Step 4: Simplify right side
    206,975.76x = 42,594,493,234.95
  5. Step 5: Solve for x
    x = 42,594,493,234.95/206,975.76
  6. Step 6: Final answer
    x = 205,794.60

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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.