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Finding the Fourth Proportional to 70,178.81, 105,268.66 and 28,062.43

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Solution

The fourth proportional to 70,178.81, 105,268.66 and 28,062.43 is: 42,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178.81 : 105,268.66 = 28,062.43 : x
  2. Step 2: Convert to fraction form
    70,178.81/105,268.66 = 28,062.43/x
  3. Step 3: Cross multiply
    70,178.81x = 105,268.66 × 28,062.43
  4. Step 4: Simplify right side
    70,178.81x = 2,954,094,819.10
  5. Step 5: Solve for x
    x = 2,954,094,819.10/70,178.81
  6. Step 6: Final answer
    x = 42,093.83

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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.