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Finding the Fourth Proportional to 86,634.60, 129,965.12 and 23,456.76

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Solution

The fourth proportional to 86,634.60, 129,965.12 and 23,456.76 is: 35,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634.60 : 129,965.12 = 23,456.76 : x
  2. Step 2: Convert to fraction form
    86,634.60/129,965.12 = 23,456.76/x
  3. Step 3: Cross multiply
    86,634.60x = 129,965.12 × 23,456.76
  4. Step 4: Simplify right side
    86,634.60x = 3,048,560,628.21
  5. Step 5: Solve for x
    x = 3,048,560,628.21/86,634.60
  6. Step 6: Final answer
    x = 35,188.72

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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.