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Finding the Fourth Proportional to 206,074.40, 308,938.80 and 107,578.40

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Solution

The fourth proportional to 206,074.40, 308,938.80 and 107,578.40 is: 161,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.40 : 308,938.80 = 107,578.40 : x
  2. Step 2: Convert to fraction form
    206,074.40/308,938.80 = 107,578.40/x
  3. Step 3: Cross multiply
    206,074.40x = 308,938.80 × 107,578.40
  4. Step 4: Simplify right side
    206,074.40x = 33,235,141,801.92
  5. Step 5: Solve for x
    x = 33,235,141,801.92/206,074.40
  6. Step 6: Final answer
    x = 161,277.39

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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.