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Finding the Fourth Proportional to 125, 186.40 and 117.44

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Solution

The fourth proportional to 125, 186.40 and 117.44 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 186.40 = 117.44 : x
  2. Step 2: Convert to fraction form
    125/186.40 = 117.44/x
  3. Step 3: Cross multiply
    125x = 186.40 × 117.44
  4. Step 4: Simplify right side
    125x = 21,890.82
  5. Step 5: Solve for x
    x = 21,890.82/125
  6. Step 6: Final answer
    x = 175.13

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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.