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Finding the Fourth Proportional to 67,144.76, 100,722.80 and 20,398.04

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Solution

The fourth proportional to 67,144.76, 100,722.80 and 20,398.04 is: 30,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144.76 : 100,722.80 = 20,398.04 : x
  2. Step 2: Convert to fraction form
    67,144.76/100,722.80 = 20,398.04/x
  3. Step 3: Cross multiply
    67,144.76x = 100,722.80 × 20,398.04
  4. Step 4: Simplify right side
    67,144.76x = 2,054,547,703.31
  5. Step 5: Solve for x
    x = 2,054,547,703.31/67,144.76
  6. Step 6: Final answer
    x = 30,598.78

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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.