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Finding the Fourth Proportional to 78,109, 117,199.20 and 42,517

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Solution

The fourth proportional to 78,109, 117,199.20 and 42,517 is: 63,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109 : 117,199.20 = 42,517 : x
  2. Step 2: Convert to fraction form
    78,109/117,199.20 = 42,517/x
  3. Step 3: Cross multiply
    78,109x = 117,199.20 × 42,517
  4. Step 4: Simplify right side
    78,109x = 4,982,958,386.40
  5. Step 5: Solve for x
    x = 4,982,958,386.40/78,109
  6. Step 6: Final answer
    x = 63,794.93

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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.