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Finding the Fourth Proportional to 95.03, 142.30 and 52.19

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Solution

The fourth proportional to 95.03, 142.30 and 52.19 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.03 : 142.30 = 52.19 : x
  2. Step 2: Convert to fraction form
    95.03/142.30 = 52.19/x
  3. Step 3: Cross multiply
    95.03x = 142.30 × 52.19
  4. Step 4: Simplify right side
    95.03x = 7,425.80
  5. Step 5: Solve for x
    x = 7,425.80/95.03
  6. Step 6: Final answer
    x = 78.15

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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.