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Finding the Fourth Proportional to 78,243.20, 117,364.80 and 22,839.20

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Solution

The fourth proportional to 78,243.20, 117,364.80 and 22,839.20 is: 34,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,243.20 : 117,364.80 = 22,839.20 : x
  2. Step 2: Convert to fraction form
    78,243.20/117,364.80 = 22,839.20/x
  3. Step 3: Cross multiply
    78,243.20x = 117,364.80 × 22,839.20
  4. Step 4: Simplify right side
    78,243.20x = 2,680,518,140.16
  5. Step 5: Solve for x
    x = 2,680,518,140.16/78,243.20
  6. Step 6: Final answer
    x = 34,258.80

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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.