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Finding the Fourth Proportional to 86,129.68, 129,194.34 and 23,800

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Solution

The fourth proportional to 86,129.68, 129,194.34 and 23,800 is: 35,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,129.68 : 129,194.34 = 23,800 : x
  2. Step 2: Convert to fraction form
    86,129.68/129,194.34 = 23,800/x
  3. Step 3: Cross multiply
    86,129.68x = 129,194.34 × 23,800
  4. Step 4: Simplify right side
    86,129.68x = 3,074,825,292
  5. Step 5: Solve for x
    x = 3,074,825,292/86,129.68
  6. Step 6: Final answer
    x = 35,699.95

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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.