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Finding the Fourth Proportional to 125,874.66, 188,756.60 and 66,696.69

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Solution

The fourth proportional to 125,874.66, 188,756.60 and 66,696.69 is: 100,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874.66 : 188,756.60 = 66,696.69 : x
  2. Step 2: Convert to fraction form
    125,874.66/188,756.60 = 66,696.69/x
  3. Step 3: Cross multiply
    125,874.66x = 188,756.60 × 66,696.69
  4. Step 4: Simplify right side
    125,874.66x = 12,589,440,102.17
  5. Step 5: Solve for x
    x = 12,589,440,102.17/125,874.66
  6. Step 6: Final answer
    x = 100,015.68

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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.