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Finding the Fourth Proportional to 70,110, 105,165.12 and 20,862

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Solution

The fourth proportional to 70,110, 105,165.12 and 20,862 is: 31,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,110 : 105,165.12 = 20,862 : x
  2. Step 2: Convert to fraction form
    70,110/105,165.12 = 20,862/x
  3. Step 3: Cross multiply
    70,110x = 105,165.12 × 20,862
  4. Step 4: Simplify right side
    70,110x = 2,193,954,733.44
  5. Step 5: Solve for x
    x = 2,193,954,733.44/70,110
  6. Step 6: Final answer
    x = 31,293.04

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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.