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Finding the Fourth Proportional to 140.86, 210.16 and 125.47

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Solution

The fourth proportional to 140.86, 210.16 and 125.47 is: 187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 210.16 = 125.47 : x
  2. Step 2: Convert to fraction form
    140.86/210.16 = 125.47/x
  3. Step 3: Cross multiply
    140.86x = 210.16 × 125.47
  4. Step 4: Simplify right side
    140.86x = 26,368.49
  5. Step 5: Solve for x
    x = 26,368.49/140.86
  6. Step 6: Final answer
    x = 187.19

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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.