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Finding the Fourth Proportional to 78,373.20, 117,568.02 and 25,786.80

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Solution

The fourth proportional to 78,373.20, 117,568.02 and 25,786.80 is: 38,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373.20 : 117,568.02 = 25,786.80 : x
  2. Step 2: Convert to fraction form
    78,373.20/117,568.02 = 25,786.80/x
  3. Step 3: Cross multiply
    78,373.20x = 117,568.02 × 25,786.80
  4. Step 4: Simplify right side
    78,373.20x = 3,031,703,018.14
  5. Step 5: Solve for x
    x = 3,031,703,018.14/78,373.20
  6. Step 6: Final answer
    x = 38,682.90

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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.