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Finding the Fourth Proportional to 51,257, 70,734.66 and 27,705

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Solution

The fourth proportional to 51,257, 70,734.66 and 27,705 is: 38,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257 : 70,734.66 = 27,705 : x
  2. Step 2: Convert to fraction form
    51,257/70,734.66 = 27,705/x
  3. Step 3: Cross multiply
    51,257x = 70,734.66 × 27,705
  4. Step 4: Simplify right side
    51,257x = 1,959,703,755.30
  5. Step 5: Solve for x
    x = 1,959,703,755.30/51,257
  6. Step 6: Final answer
    x = 38,232.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.