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Finding the Fourth Proportional to 100,830.78, 151,227.81 and 29,738.70

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Solution

The fourth proportional to 100,830.78, 151,227.81 and 29,738.70 is: 44,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.78 : 151,227.81 = 29,738.70 : x
  2. Step 2: Convert to fraction form
    100,830.78/151,227.81 = 29,738.70/x
  3. Step 3: Cross multiply
    100,830.78x = 151,227.81 × 29,738.70
  4. Step 4: Simplify right side
    100,830.78x = 4,497,318,473.25
  5. Step 5: Solve for x
    x = 4,497,318,473.25/100,830.78
  6. Step 6: Final answer
    x = 44,602.63

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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.