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Finding the Fourth Proportional to 125.02, 188.32 and 113.68

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Solution

The fourth proportional to 125.02, 188.32 and 113.68 is: 171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 188.32 = 113.68 : x
  2. Step 2: Convert to fraction form
    125.02/188.32 = 113.68/x
  3. Step 3: Cross multiply
    125.02x = 188.32 × 113.68
  4. Step 4: Simplify right side
    125.02x = 21,408.22
  5. Step 5: Solve for x
    x = 21,408.22/125.02
  6. Step 6: Final answer
    x = 171.24

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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.