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Finding the Fourth Proportional to 125.30, 187.15 and 105.82

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Solution

The fourth proportional to 125.30, 187.15 and 105.82 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.30 : 187.15 = 105.82 : x
  2. Step 2: Convert to fraction form
    125.30/187.15 = 105.82/x
  3. Step 3: Cross multiply
    125.30x = 187.15 × 105.82
  4. Step 4: Simplify right side
    125.30x = 19,803.79
  5. Step 5: Solve for x
    x = 19,803.79/125.30
  6. Step 6: Final answer
    x = 158.05

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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.