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Finding the Fourth Proportional to 129,295.68, 193,964.16 and 45,080.06

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Solution

The fourth proportional to 129,295.68, 193,964.16 and 45,080.06 is: 67,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,295.68 : 193,964.16 = 45,080.06 : x
  2. Step 2: Convert to fraction form
    129,295.68/193,964.16 = 45,080.06/x
  3. Step 3: Cross multiply
    129,295.68x = 193,964.16 × 45,080.06
  4. Step 4: Simplify right side
    129,295.68x = 8,743,915,970.65
  5. Step 5: Solve for x
    x = 8,743,915,970.65/129,295.68
  6. Step 6: Final answer
    x = 67,627.29

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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.