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Finding the Fourth Proportional to 109,838.70, 164,758.05 and 91,467.90

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Solution

The fourth proportional to 109,838.70, 164,758.05 and 91,467.90 is: 137,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.70 : 164,758.05 = 91,467.90 : x
  2. Step 2: Convert to fraction form
    109,838.70/164,758.05 = 91,467.90/x
  3. Step 3: Cross multiply
    109,838.70x = 164,758.05 × 91,467.90
  4. Step 4: Simplify right side
    109,838.70x = 15,070,072,841.60
  5. Step 5: Solve for x
    x = 15,070,072,841.60/109,838.70
  6. Step 6: Final answer
    x = 137,201.85

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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.