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Finding the Fourth Proportional to 125.65, 174.14 and 113.50

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Solution

The fourth proportional to 125.65, 174.14 and 113.50 is: 157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.65 : 174.14 = 113.50 : x
  2. Step 2: Convert to fraction form
    125.65/174.14 = 113.50/x
  3. Step 3: Cross multiply
    125.65x = 174.14 × 113.50
  4. Step 4: Simplify right side
    125.65x = 19,764.89
  5. Step 5: Solve for x
    x = 19,764.89/125.65
  6. Step 6: Final answer
    x = 157.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.