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Finding the Fourth Proportional to 233,147.20, 349,720.80 and 75,488.80

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Solution

The fourth proportional to 233,147.20, 349,720.80 and 75,488.80 is: 113,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.20 : 349,720.80 = 75,488.80 : x
  2. Step 2: Convert to fraction form
    233,147.20/349,720.80 = 75,488.80/x
  3. Step 3: Cross multiply
    233,147.20x = 349,720.80 × 75,488.80
  4. Step 4: Simplify right side
    233,147.20x = 26,400,003,527.04
  5. Step 5: Solve for x
    x = 26,400,003,527.04/233,147.20
  6. Step 6: Final answer
    x = 113,233.20

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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.