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Finding the Fourth Proportional to 147.52, 202.10 and 142.04

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Solution

The fourth proportional to 147.52, 202.10 and 142.04 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 202.10 = 142.04 : x
  2. Step 2: Convert to fraction form
    147.52/202.10 = 142.04/x
  3. Step 3: Cross multiply
    147.52x = 202.10 × 142.04
  4. Step 4: Simplify right side
    147.52x = 28,706.28
  5. Step 5: Solve for x
    x = 28,706.28/147.52
  6. Step 6: Final answer
    x = 194.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.