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Finding the Fourth Proportional to 137,894.35, 206,726.70 and 53,634.72

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Solution

The fourth proportional to 137,894.35, 206,726.70 and 53,634.72 is: 80,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.35 : 206,726.70 = 53,634.72 : x
  2. Step 2: Convert to fraction form
    137,894.35/206,726.70 = 53,634.72/x
  3. Step 3: Cross multiply
    137,894.35x = 206,726.70 × 53,634.72
  4. Step 4: Simplify right side
    137,894.35x = 11,087,728,671.02
  5. Step 5: Solve for x
    x = 11,087,728,671.02/137,894.35
  6. Step 6: Final answer
    x = 80,407.42

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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.