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Finding the Fourth Proportional to 86,530.80, 129,774.60 and 33,211.20

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Solution

The fourth proportional to 86,530.80, 129,774.60 and 33,211.20 is: 49,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,530.80 : 129,774.60 = 33,211.20 : x
  2. Step 2: Convert to fraction form
    86,530.80/129,774.60 = 33,211.20/x
  3. Step 3: Cross multiply
    86,530.80x = 129,774.60 × 33,211.20
  4. Step 4: Simplify right side
    86,530.80x = 4,309,970,195.52
  5. Step 5: Solve for x
    x = 4,309,970,195.52/86,530.80
  6. Step 6: Final answer
    x = 49,808.51

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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.