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Finding the Fourth Proportional to 103,489.20, 155,203.75 and 40,295.20

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Solution

The fourth proportional to 103,489.20, 155,203.75 and 40,295.20 is: 60,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489.20 : 155,203.75 = 40,295.20 : x
  2. Step 2: Convert to fraction form
    103,489.20/155,203.75 = 40,295.20/x
  3. Step 3: Cross multiply
    103,489.20x = 155,203.75 × 40,295.20
  4. Step 4: Simplify right side
    103,489.20x = 6,253,966,147
  5. Step 5: Solve for x
    x = 6,253,966,147/103,489.20
  6. Step 6: Final answer
    x = 60,431.10

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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.