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Finding the Fourth Proportional to 106,234.70, 159,438.45 and 102,778.70

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Solution

The fourth proportional to 106,234.70, 159,438.45 and 102,778.70 is: 154,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234.70 : 159,438.45 = 102,778.70 : x
  2. Step 2: Convert to fraction form
    106,234.70/159,438.45 = 102,778.70/x
  3. Step 3: Cross multiply
    106,234.70x = 159,438.45 × 102,778.70
  4. Step 4: Simplify right side
    106,234.70x = 16,386,876,621.02
  5. Step 5: Solve for x
    x = 16,386,876,621.02/106,234.70
  6. Step 6: Final answer
    x = 154,251.64

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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.