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Finding the Fourth Proportional to 125.80, 187.78 and 108.80

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Solution

The fourth proportional to 125.80, 187.78 and 108.80 is: 162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.80 : 187.78 = 108.80 : x
  2. Step 2: Convert to fraction form
    125.80/187.78 = 108.80/x
  3. Step 3: Cross multiply
    125.80x = 187.78 × 108.80
  4. Step 4: Simplify right side
    125.80x = 20,430.46
  5. Step 5: Solve for x
    x = 20,430.46/125.80
  6. Step 6: Final answer
    x = 162.40

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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.