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Finding the Fourth Proportional to 70,807.42, 106,211.81 and 20,206.40

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Solution

The fourth proportional to 70,807.42, 106,211.81 and 20,206.40 is: 30,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.42 : 106,211.81 = 20,206.40 : x
  2. Step 2: Convert to fraction form
    70,807.42/106,211.81 = 20,206.40/x
  3. Step 3: Cross multiply
    70,807.42x = 106,211.81 × 20,206.40
  4. Step 4: Simplify right side
    70,807.42x = 2,146,157,723.38
  5. Step 5: Solve for x
    x = 2,146,157,723.38/70,807.42
  6. Step 6: Final answer
    x = 30,309.79

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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.