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Finding the Fourth Proportional to 272,242.56, 408,301.20 and 103,782

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Solution

The fourth proportional to 272,242.56, 408,301.20 and 103,782 is: 155,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,242.56 : 408,301.20 = 103,782 : x
  2. Step 2: Convert to fraction form
    272,242.56/408,301.20 = 103,782/x
  3. Step 3: Cross multiply
    272,242.56x = 408,301.20 × 103,782
  4. Step 4: Simplify right side
    272,242.56x = 42,374,315,138.40
  5. Step 5: Solve for x
    x = 42,374,315,138.40/272,242.56
  6. Step 6: Final answer
    x = 155,649.12

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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.