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Finding the Fourth Proportional to 188,612.26, 282,742.62 and 129,475.78

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Solution

The fourth proportional to 188,612.26, 282,742.62 and 129,475.78 is: 194,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,612.26 : 282,742.62 = 129,475.78 : x
  2. Step 2: Convert to fraction form
    188,612.26/282,742.62 = 129,475.78/x
  3. Step 3: Cross multiply
    188,612.26x = 282,742.62 × 129,475.78
  4. Step 4: Simplify right side
    188,612.26x = 36,608,321,263.74
  5. Step 5: Solve for x
    x = 36,608,321,263.74/188,612.26
  6. Step 6: Final answer
    x = 194,093.01

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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.