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Finding the Fourth Proportional to 67,098.81, 100,648.68 and 19,714.73

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Solution

The fourth proportional to 67,098.81, 100,648.68 and 19,714.73 is: 29,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,098.81 : 100,648.68 = 19,714.73 : x
  2. Step 2: Convert to fraction form
    67,098.81/100,648.68 = 19,714.73/x
  3. Step 3: Cross multiply
    67,098.81x = 100,648.68 × 19,714.73
  4. Step 4: Simplify right side
    67,098.81x = 1,984,260,973.88
  5. Step 5: Solve for x
    x = 1,984,260,973.88/67,098.81
  6. Step 6: Final answer
    x = 29,572.22

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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.