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Finding the Fourth Proportional to 137,754.63, 206,631.95 and 54,648.63

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Solution

The fourth proportional to 137,754.63, 206,631.95 and 54,648.63 is: 81,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,754.63 : 206,631.95 = 54,648.63 : x
  2. Step 2: Convert to fraction form
    137,754.63/206,631.95 = 54,648.63/x
  3. Step 3: Cross multiply
    137,754.63x = 206,631.95 × 54,648.63
  4. Step 4: Simplify right side
    137,754.63x = 11,292,152,981.73
  5. Step 5: Solve for x
    x = 11,292,152,981.73/137,754.63
  6. Step 6: Final answer
    x = 81,972.95

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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.