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Finding the Fourth Proportional to 70,311.42, 105,464.10 and 20,390.46

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Solution

The fourth proportional to 70,311.42, 105,464.10 and 20,390.46 is: 30,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.42 : 105,464.10 = 20,390.46 : x
  2. Step 2: Convert to fraction form
    70,311.42/105,464.10 = 20,390.46/x
  3. Step 3: Cross multiply
    70,311.42x = 105,464.10 × 20,390.46
  4. Step 4: Simplify right side
    70,311.42x = 2,150,461,512.49
  5. Step 5: Solve for x
    x = 2,150,461,512.49/70,311.42
  6. Step 6: Final answer
    x = 30,584.81

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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.