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Finding the Fourth Proportional to 129,171.80, 193,763.10 and 69,175.10

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Solution

The fourth proportional to 129,171.80, 193,763.10 and 69,175.10 is: 103,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,171.80 : 193,763.10 = 69,175.10 : x
  2. Step 2: Convert to fraction form
    129,171.80/193,763.10 = 69,175.10/x
  3. Step 3: Cross multiply
    129,171.80x = 193,763.10 × 69,175.10
  4. Step 4: Simplify right side
    129,171.80x = 13,403,581,818.81
  5. Step 5: Solve for x
    x = 13,403,581,818.81/129,171.80
  6. Step 6: Final answer
    x = 103,765.54

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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.