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Finding the Fourth Proportional to 109,953.90, 164,930.85 and 71,900.10

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Solution

The fourth proportional to 109,953.90, 164,930.85 and 71,900.10 is: 107,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.90 : 164,930.85 = 71,900.10 : x
  2. Step 2: Convert to fraction form
    109,953.90/164,930.85 = 71,900.10/x
  3. Step 3: Cross multiply
    109,953.90x = 164,930.85 × 71,900.10
  4. Step 4: Simplify right side
    109,953.90x = 11,858,544,608.09
  5. Step 5: Solve for x
    x = 11,858,544,608.09/109,953.90
  6. Step 6: Final answer
    x = 107,850.15

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1.5x scale

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.