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Finding the Fourth Proportional to 137,783.84, 206,613.43 and 49,039.70

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Solution

The fourth proportional to 137,783.84, 206,613.43 and 49,039.70 is: 73,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.84 : 206,613.43 = 49,039.70 : x
  2. Step 2: Convert to fraction form
    137,783.84/206,613.43 = 49,039.70/x
  3. Step 3: Cross multiply
    137,783.84x = 206,613.43 × 49,039.70
  4. Step 4: Simplify right side
    137,783.84x = 10,132,261,017.11
  5. Step 5: Solve for x
    x = 10,132,261,017.11/137,783.84
  6. Step 6: Final answer
    x = 73,537.37

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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.