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Finding the Fourth Proportional to 78,876, 118,314.81 and 23,472

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Solution

The fourth proportional to 78,876, 118,314.81 and 23,472 is: 35,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 118,314.81 = 23,472 : x
  2. Step 2: Convert to fraction form
    78,876/118,314.81 = 23,472/x
  3. Step 3: Cross multiply
    78,876x = 118,314.81 × 23,472
  4. Step 4: Simplify right side
    78,876x = 2,777,085,220.32
  5. Step 5: Solve for x
    x = 2,777,085,220.32/78,876
  6. Step 6: Final answer
    x = 35,208.24

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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.