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Finding the Fourth Proportional to 70,471.92, 105,697.62 and 20,538.61

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Solution

The fourth proportional to 70,471.92, 105,697.62 and 20,538.61 is: 30,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.92 : 105,697.62 = 20,538.61 : x
  2. Step 2: Convert to fraction form
    70,471.92/105,697.62 = 20,538.61/x
  3. Step 3: Cross multiply
    70,471.92x = 105,697.62 × 20,538.61
  4. Step 4: Simplify right side
    70,471.92x = 2,170,881,982.21
  5. Step 5: Solve for x
    x = 2,170,881,982.21/70,471.92
  6. Step 6: Final answer
    x = 30,804.92

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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.