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Finding the Fourth Proportional to 115,419.20, 173,128.80 and 76,020.80

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Solution

The fourth proportional to 115,419.20, 173,128.80 and 76,020.80 is: 114,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,419.20 : 173,128.80 = 76,020.80 : x
  2. Step 2: Convert to fraction form
    115,419.20/173,128.80 = 76,020.80/x
  3. Step 3: Cross multiply
    115,419.20x = 173,128.80 × 76,020.80
  4. Step 4: Simplify right side
    115,419.20x = 13,161,389,879.04
  5. Step 5: Solve for x
    x = 13,161,389,879.04/115,419.20
  6. Step 6: Final answer
    x = 114,031.20

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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.