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Finding the Fourth Proportional to 78,579.76, 117,824.88 and 53,650

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Solution

The fourth proportional to 78,579.76, 117,824.88 and 53,650 is: 80,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,579.76 : 117,824.88 = 53,650 : x
  2. Step 2: Convert to fraction form
    78,579.76/117,824.88 = 53,650/x
  3. Step 3: Cross multiply
    78,579.76x = 117,824.88 × 53,650
  4. Step 4: Simplify right side
    78,579.76x = 6,321,304,812
  5. Step 5: Solve for x
    x = 6,321,304,812/78,579.76
  6. Step 6: Final answer
    x = 80,444.44

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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.