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Finding the Fourth Proportional to 54,432.76, 81,680.64 and 22,840

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Solution

The fourth proportional to 54,432.76, 81,680.64 and 22,840 is: 34,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,432.76 : 81,680.64 = 22,840 : x
  2. Step 2: Convert to fraction form
    54,432.76/81,680.64 = 22,840/x
  3. Step 3: Cross multiply
    54,432.76x = 81,680.64 × 22,840
  4. Step 4: Simplify right side
    54,432.76x = 1,865,585,817.60
  5. Step 5: Solve for x
    x = 1,865,585,817.60/54,432.76
  6. Step 6: Final answer
    x = 34,273.22

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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.