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Finding the Fourth Proportional to 207,156, 310,734 and 51,508

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Solution

The fourth proportional to 207,156, 310,734 and 51,508 is: 77,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,156 : 310,734 = 51,508 : x
  2. Step 2: Convert to fraction form
    207,156/310,734 = 51,508/x
  3. Step 3: Cross multiply
    207,156x = 310,734 × 51,508
  4. Step 4: Simplify right side
    207,156x = 16,005,286,872
  5. Step 5: Solve for x
    x = 16,005,286,872/207,156
  6. Step 6: Final answer
    x = 77,262

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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.