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Finding the Fourth Proportional to 125.23, 188.51 and 96.50

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Solution

The fourth proportional to 125.23, 188.51 and 96.50 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.23 : 188.51 = 96.50 : x
  2. Step 2: Convert to fraction form
    125.23/188.51 = 96.50/x
  3. Step 3: Cross multiply
    125.23x = 188.51 × 96.50
  4. Step 4: Simplify right side
    125.23x = 18,191.22
  5. Step 5: Solve for x
    x = 18,191.22/125.23
  6. Step 6: Final answer
    x = 145.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.