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Finding the Fourth Proportional to 81,324, 121,988.16 and 25,920

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Solution

The fourth proportional to 81,324, 121,988.16 and 25,920 is: 38,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324 : 121,988.16 = 25,920 : x
  2. Step 2: Convert to fraction form
    81,324/121,988.16 = 25,920/x
  3. Step 3: Cross multiply
    81,324x = 121,988.16 × 25,920
  4. Step 4: Simplify right side
    81,324x = 3,161,933,107.20
  5. Step 5: Solve for x
    x = 3,161,933,107.20/81,324
  6. Step 6: Final answer
    x = 38,880.69

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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.