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Finding the Fourth Proportional to 100,169.85, 138,230.10 and 54,847.01

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Solution

The fourth proportional to 100,169.85, 138,230.10 and 54,847.01 is: 75,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.85 : 138,230.10 = 54,847.01 : x
  2. Step 2: Convert to fraction form
    100,169.85/138,230.10 = 54,847.01/x
  3. Step 3: Cross multiply
    100,169.85x = 138,230.10 × 54,847.01
  4. Step 4: Simplify right side
    100,169.85x = 7,581,506,985.85
  5. Step 5: Solve for x
    x = 7,581,506,985.85/100,169.85
  6. Step 6: Final answer
    x = 75,686.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.