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Finding the Fourth Proportional to 109,906.10, 164,859.15 and 64,999.70

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Solution

The fourth proportional to 109,906.10, 164,859.15 and 64,999.70 is: 97,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.10 : 164,859.15 = 64,999.70 : x
  2. Step 2: Convert to fraction form
    109,906.10/164,859.15 = 64,999.70/x
  3. Step 3: Cross multiply
    109,906.10x = 164,859.15 × 64,999.70
  4. Step 4: Simplify right side
    109,906.10x = 10,715,795,292.26
  5. Step 5: Solve for x
    x = 10,715,795,292.26/109,906.10
  6. Step 6: Final answer
    x = 97,499.55

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Similar ratio
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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.