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Finding the Fourth Proportional to 125.00, 187.49 and 52.81

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Solution

The fourth proportional to 125.00, 187.49 and 52.81 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.00 : 187.49 = 52.81 : x
  2. Step 2: Convert to fraction form
    125.00/187.49 = 52.81/x
  3. Step 3: Cross multiply
    125.00x = 187.49 × 52.81
  4. Step 4: Simplify right side
    125.00x = 9,901.01
  5. Step 5: Solve for x
    x = 9,901.01/125.00
  6. Step 6: Final answer
    x = 79.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.