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Finding the Fourth Proportional to 86,434, 129,672.87 and 24,104.50

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Solution

The fourth proportional to 86,434, 129,672.87 and 24,104.50 is: 36,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434 : 129,672.87 = 24,104.50 : x
  2. Step 2: Convert to fraction form
    86,434/129,672.87 = 24,104.50/x
  3. Step 3: Cross multiply
    86,434x = 129,672.87 × 24,104.50
  4. Step 4: Simplify right side
    86,434x = 3,125,699,694.92
  5. Step 5: Solve for x
    x = 3,125,699,694.92/86,434
  6. Step 6: Final answer
    x = 36,162.85

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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.