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Finding the Fourth Proportional to 206,475.86, 308,931.06 and 122,281.22

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Solution

The fourth proportional to 206,475.86, 308,931.06 and 122,281.22 is: 182,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475.86 : 308,931.06 = 122,281.22 : x
  2. Step 2: Convert to fraction form
    206,475.86/308,931.06 = 122,281.22/x
  3. Step 3: Cross multiply
    206,475.86x = 308,931.06 × 122,281.22
  4. Step 4: Simplify right side
    206,475.86x = 37,776,466,912.69
  5. Step 5: Solve for x
    x = 37,776,466,912.69/206,475.86
  6. Step 6: Final answer
    x = 182,958.27

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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.