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Finding the Fourth Proportional to 102,901.78, 154,371.03 and 36,380.53

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Solution

The fourth proportional to 102,901.78, 154,371.03 and 36,380.53 is: 54,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.78 : 154,371.03 = 36,380.53 : x
  2. Step 2: Convert to fraction form
    102,901.78/154,371.03 = 36,380.53/x
  3. Step 3: Cross multiply
    102,901.78x = 154,371.03 × 36,380.53
  4. Step 4: Simplify right side
    102,901.78x = 5,616,099,888.05
  5. Step 5: Solve for x
    x = 5,616,099,888.05/102,901.78
  6. Step 6: Final answer
    x = 54,577.29

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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.