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Finding the Fourth Proportional to 206,984.76, 310,412.34 and 137,234.04

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Solution

The fourth proportional to 206,984.76, 310,412.34 and 137,234.04 is: 205,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984.76 : 310,412.34 = 137,234.04 : x
  2. Step 2: Convert to fraction form
    206,984.76/310,412.34 = 137,234.04/x
  3. Step 3: Cross multiply
    206,984.76x = 310,412.34 × 137,234.04
  4. Step 4: Simplify right side
    206,984.76x = 42,599,139,484.05
  5. Step 5: Solve for x
    x = 42,599,139,484.05/206,984.76
  6. Step 6: Final answer
    x = 205,808.10

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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.