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Finding the Fourth Proportional to 141, 210.96 and 125.64

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Solution

The fourth proportional to 141, 210.96 and 125.64 is: 187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 210.96 = 125.64 : x
  2. Step 2: Convert to fraction form
    141/210.96 = 125.64/x
  3. Step 3: Cross multiply
    141x = 210.96 × 125.64
  4. Step 4: Simplify right side
    141x = 26,505.01
  5. Step 5: Solve for x
    x = 26,505.01/141
  6. Step 6: Final answer
    x = 187.98

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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.