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Finding the Fourth Proportional to 78,982.75, 118,474.13 and 23,578.75

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Solution

The fourth proportional to 78,982.75, 118,474.13 and 23,578.75 is: 35,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,982.75 : 118,474.13 = 23,578.75 : x
  2. Step 2: Convert to fraction form
    78,982.75/118,474.13 = 23,578.75/x
  3. Step 3: Cross multiply
    78,982.75x = 118,474.13 × 23,578.75
  4. Step 4: Simplify right side
    78,982.75x = 2,793,471,774.84
  5. Step 5: Solve for x
    x = 2,793,471,774.84/78,982.75
  6. Step 6: Final answer
    x = 35,368.13

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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.