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Finding the Fourth Proportional to 125.02, 187.14 and 76.78

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Solution

The fourth proportional to 125.02, 187.14 and 76.78 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 187.14 = 76.78 : x
  2. Step 2: Convert to fraction form
    125.02/187.14 = 76.78/x
  3. Step 3: Cross multiply
    125.02x = 187.14 × 76.78
  4. Step 4: Simplify right side
    125.02x = 14,368.61
  5. Step 5: Solve for x
    x = 14,368.61/125.02
  6. Step 6: Final answer
    x = 114.93

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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.