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Finding the Fourth Proportional to 86,765.85, 130,181.18 and 34,211.97

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Solution

The fourth proportional to 86,765.85, 130,181.18 and 34,211.97 is: 51,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,765.85 : 130,181.18 = 34,211.97 : x
  2. Step 2: Convert to fraction form
    86,765.85/130,181.18 = 34,211.97/x
  3. Step 3: Cross multiply
    86,765.85x = 130,181.18 × 34,211.97
  4. Step 4: Simplify right side
    86,765.85x = 4,453,754,453.66
  5. Step 5: Solve for x
    x = 4,453,754,453.66/86,765.85
  6. Step 6: Final answer
    x = 51,330.73

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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.