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Finding the Fourth Proportional to 137,683.44, 206,404.88 and 53,385.53

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Solution

The fourth proportional to 137,683.44, 206,404.88 and 53,385.53 is: 80,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683.44 : 206,404.88 = 53,385.53 : x
  2. Step 2: Convert to fraction form
    137,683.44/206,404.88 = 53,385.53/x
  3. Step 3: Cross multiply
    137,683.44x = 206,404.88 × 53,385.53
  4. Step 4: Simplify right side
    137,683.44x = 11,019,032,614.43
  5. Step 5: Solve for x
    x = 11,019,032,614.43/137,683.44
  6. Step 6: Final answer
    x = 80,031.65

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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.