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Finding the Fourth Proportional to 206,374.40, 309,561.66 and 136,237.31

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Solution

The fourth proportional to 206,374.40, 309,561.66 and 136,237.31 is: 204,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.40 : 309,561.66 = 136,237.31 : x
  2. Step 2: Convert to fraction form
    206,374.40/309,561.66 = 136,237.31/x
  3. Step 3: Cross multiply
    206,374.40x = 309,561.66 × 136,237.31
  4. Step 4: Simplify right side
    206,374.40x = 42,173,846,289.73
  5. Step 5: Solve for x
    x = 42,173,846,289.73/206,374.40
  6. Step 6: Final answer
    x = 204,356.00

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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.