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Finding the Fourth Proportional to 125.53, 173.30 and 78.98

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Solution

The fourth proportional to 125.53, 173.30 and 78.98 is: 109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.53 : 173.30 = 78.98 : x
  2. Step 2: Convert to fraction form
    125.53/173.30 = 78.98/x
  3. Step 3: Cross multiply
    125.53x = 173.30 × 78.98
  4. Step 4: Simplify right side
    125.53x = 13,685.97
  5. Step 5: Solve for x
    x = 13,685.97/125.53
  6. Step 6: Final answer
    x = 109.03

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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.