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Finding the Fourth Proportional to 137,561.49, 206,400.56 and 75,159.09

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Solution

The fourth proportional to 137,561.49, 206,400.56 and 75,159.09 is: 112,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.49 : 206,400.56 = 75,159.09 : x
  2. Step 2: Convert to fraction form
    137,561.49/206,400.56 = 75,159.09/x
  3. Step 3: Cross multiply
    137,561.49x = 206,400.56 × 75,159.09
  4. Step 4: Simplify right side
    137,561.49x = 15,512,877,889.30
  5. Step 5: Solve for x
    x = 15,512,877,889.30/137,561.49
  6. Step 6: Final answer
    x = 112,770.50

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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.