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Finding the Fourth Proportional to 75,204.89, 103,760.49 and 42,938.44

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Solution

The fourth proportional to 75,204.89, 103,760.49 and 42,938.44 is: 59,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204.89 : 103,760.49 = 42,938.44 : x
  2. Step 2: Convert to fraction form
    75,204.89/103,760.49 = 42,938.44/x
  3. Step 3: Cross multiply
    75,204.89x = 103,760.49 × 42,938.44
  4. Step 4: Simplify right side
    75,204.89x = 4,455,313,475.85
  5. Step 5: Solve for x
    x = 4,455,313,475.85/75,204.89
  6. Step 6: Final answer
    x = 59,242.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.