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Finding the Fourth Proportional to 78,391.32, 117,543.24 and 25,786.68

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Solution

The fourth proportional to 78,391.32, 117,543.24 and 25,786.68 is: 38,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.32 : 117,543.24 = 25,786.68 : x
  2. Step 2: Convert to fraction form
    78,391.32/117,543.24 = 25,786.68/x
  3. Step 3: Cross multiply
    78,391.32x = 117,543.24 × 25,786.68
  4. Step 4: Simplify right side
    78,391.32x = 3,031,049,916.04
  5. Step 5: Solve for x
    x = 3,031,049,916.04/78,391.32
  6. Step 6: Final answer
    x = 38,665.63

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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.