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Finding the Fourth Proportional to 125.32, 187.08 and 109.06

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Solution

The fourth proportional to 125.32, 187.08 and 109.06 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.32 : 187.08 = 109.06 : x
  2. Step 2: Convert to fraction form
    125.32/187.08 = 109.06/x
  3. Step 3: Cross multiply
    125.32x = 187.08 × 109.06
  4. Step 4: Simplify right side
    125.32x = 20,402.94
  5. Step 5: Solve for x
    x = 20,402.94/125.32
  6. Step 6: Final answer
    x = 162.81

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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.