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Finding the Fourth Proportional to 142.50, 213.86 and 74.01

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Solution

The fourth proportional to 142.50, 213.86 and 74.01 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 213.86 = 74.01 : x
  2. Step 2: Convert to fraction form
    142.50/213.86 = 74.01/x
  3. Step 3: Cross multiply
    142.50x = 213.86 × 74.01
  4. Step 4: Simplify right side
    142.50x = 15,827.15
  5. Step 5: Solve for x
    x = 15,827.15/142.50
  6. Step 6: Final answer
    x = 111.06

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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.