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Finding the Fourth Proportional to 109,806.12, 164,619.18 and 70,353

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Solution

The fourth proportional to 109,806.12, 164,619.18 and 70,353 is: 105,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806.12 : 164,619.18 = 70,353 : x
  2. Step 2: Convert to fraction form
    109,806.12/164,619.18 = 70,353/x
  3. Step 3: Cross multiply
    109,806.12x = 164,619.18 × 70,353
  4. Step 4: Simplify right side
    109,806.12x = 11,581,453,170.54
  5. Step 5: Solve for x
    x = 11,581,453,170.54/109,806.12
  6. Step 6: Final answer
    x = 105,471.84

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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.