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Finding the Fourth Proportional to 86,578.40, 129,871.65 and 27,418.70

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Solution

The fourth proportional to 86,578.40, 129,871.65 and 27,418.70 is: 41,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,578.40 : 129,871.65 = 27,418.70 : x
  2. Step 2: Convert to fraction form
    86,578.40/129,871.65 = 27,418.70/x
  3. Step 3: Cross multiply
    86,578.40x = 129,871.65 × 27,418.70
  4. Step 4: Simplify right side
    86,578.40x = 3,560,911,809.86
  5. Step 5: Solve for x
    x = 3,560,911,809.86/86,578.40
  6. Step 6: Final answer
    x = 41,129.33

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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.