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Finding the Fourth Proportional to 70,138.86, 105,226.38 and 20,222.88

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Solution

The fourth proportional to 70,138.86, 105,226.38 and 20,222.88 is: 30,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.86 : 105,226.38 = 20,222.88 : x
  2. Step 2: Convert to fraction form
    70,138.86/105,226.38 = 20,222.88/x
  3. Step 3: Cross multiply
    70,138.86x = 105,226.38 × 20,222.88
  4. Step 4: Simplify right side
    70,138.86x = 2,127,980,455.57
  5. Step 5: Solve for x
    x = 2,127,980,455.57/70,138.86
  6. Step 6: Final answer
    x = 30,339.54

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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.