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Finding the Fourth Proportional to 137,878.07, 206,829.86 and 53,644.55

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Solution

The fourth proportional to 137,878.07, 206,829.86 and 53,644.55 is: 80,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.07 : 206,829.86 = 53,644.55 : x
  2. Step 2: Convert to fraction form
    137,878.07/206,829.86 = 53,644.55/x
  3. Step 3: Cross multiply
    137,878.07x = 206,829.86 × 53,644.55
  4. Step 4: Simplify right side
    137,878.07x = 11,095,293,463.89
  5. Step 5: Solve for x
    x = 11,095,293,463.89/137,878.07
  6. Step 6: Final answer
    x = 80,471.78

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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.