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Finding the Fourth Proportional to 142.48, 212.66 and 124.16

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Solution

The fourth proportional to 142.48, 212.66 and 124.16 is: 185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 212.66 = 124.16 : x
  2. Step 2: Convert to fraction form
    142.48/212.66 = 124.16/x
  3. Step 3: Cross multiply
    142.48x = 212.66 × 124.16
  4. Step 4: Simplify right side
    142.48x = 26,402.65
  5. Step 5: Solve for x
    x = 26,402.65/142.48
  6. Step 6: Final answer
    x = 185.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.