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Finding the Fourth Proportional to 75.24, 103.50 and 61.20

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Solution

The fourth proportional to 75.24, 103.50 and 61.20 is: 84.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.50 = 61.20 : x
  2. Step 2: Convert to fraction form
    75.24/103.50 = 61.20/x
  3. Step 3: Cross multiply
    75.24x = 103.50 × 61.20
  4. Step 4: Simplify right side
    75.24x = 6,334.20
  5. Step 5: Solve for x
    x = 6,334.20/75.24
  6. Step 6: Final answer
    x = 84.19

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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.