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Finding the Fourth Proportional to 136,404.68, 188,244.26 and 75,975.30

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Solution

The fourth proportional to 136,404.68, 188,244.26 and 75,975.30 is: 104,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,404.68 : 188,244.26 = 75,975.30 : x
  2. Step 2: Convert to fraction form
    136,404.68/188,244.26 = 75,975.30/x
  3. Step 3: Cross multiply
    136,404.68x = 188,244.26 × 75,975.30
  4. Step 4: Simplify right side
    136,404.68x = 14,301,914,126.78
  5. Step 5: Solve for x
    x = 14,301,914,126.78/136,404.68
  6. Step 6: Final answer
    x = 104,849.15

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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.