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Finding the Fourth Proportional to 136,321.70, 204,482.55 and 77,272.70

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Solution

The fourth proportional to 136,321.70, 204,482.55 and 77,272.70 is: 115,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,321.70 : 204,482.55 = 77,272.70 : x
  2. Step 2: Convert to fraction form
    136,321.70/204,482.55 = 77,272.70/x
  3. Step 3: Cross multiply
    136,321.70x = 204,482.55 × 77,272.70
  4. Step 4: Simplify right side
    136,321.70x = 15,800,918,741.39
  5. Step 5: Solve for x
    x = 15,800,918,741.39/136,321.70
  6. Step 6: Final answer
    x = 115,909.05

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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.