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Finding the Fourth Proportional to 102,932.70, 154,399.05 and 36,447.90

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Solution

The fourth proportional to 102,932.70, 154,399.05 and 36,447.90 is: 54,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932.70 : 154,399.05 = 36,447.90 : x
  2. Step 2: Convert to fraction form
    102,932.70/154,399.05 = 36,447.90/x
  3. Step 3: Cross multiply
    102,932.70x = 154,399.05 × 36,447.90
  4. Step 4: Simplify right side
    102,932.70x = 5,627,521,134.50
  5. Step 5: Solve for x
    x = 5,627,521,134.50/102,932.70
  6. Step 6: Final answer
    x = 54,671.85

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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.