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Finding the Fourth Proportional to 125.82, 173.65 and 70.57

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Solution

The fourth proportional to 125.82, 173.65 and 70.57 is: 97.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 173.65 = 70.57 : x
  2. Step 2: Convert to fraction form
    125.82/173.65 = 70.57/x
  3. Step 3: Cross multiply
    125.82x = 173.65 × 70.57
  4. Step 4: Simplify right side
    125.82x = 12,254.30
  5. Step 5: Solve for x
    x = 12,254.30/125.82
  6. Step 6: Final answer
    x = 97.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.