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Finding the Fourth Proportional to 175,408.80, 263,048.40 and 86,632.80

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Solution

The fourth proportional to 175,408.80, 263,048.40 and 86,632.80 is: 129,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,408.80 : 263,048.40 = 86,632.80 : x
  2. Step 2: Convert to fraction form
    175,408.80/263,048.40 = 86,632.80/x
  3. Step 3: Cross multiply
    175,408.80x = 263,048.40 × 86,632.80
  4. Step 4: Simplify right side
    175,408.80x = 22,788,619,427.52
  5. Step 5: Solve for x
    x = 22,788,619,427.52/175,408.80
  6. Step 6: Final answer
    x = 129,917.20

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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.