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Finding the Fourth Proportional to 86,406, 129,616.44 and 24,076.50

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Solution

The fourth proportional to 86,406, 129,616.44 and 24,076.50 is: 36,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 129,616.44 = 24,076.50 : x
  2. Step 2: Convert to fraction form
    86,406/129,616.44 = 24,076.50/x
  3. Step 3: Cross multiply
    86,406x = 129,616.44 × 24,076.50
  4. Step 4: Simplify right side
    86,406x = 3,120,710,217.66
  5. Step 5: Solve for x
    x = 3,120,710,217.66/86,406
  6. Step 6: Final answer
    x = 36,116.82

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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.