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Finding the Fourth Proportional to 251,760, 377,640 and 76,656

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Solution

The fourth proportional to 251,760, 377,640 and 76,656 is: 114,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,760 : 377,640 = 76,656 : x
  2. Step 2: Convert to fraction form
    251,760/377,640 = 76,656/x
  3. Step 3: Cross multiply
    251,760x = 377,640 × 76,656
  4. Step 4: Simplify right side
    251,760x = 28,948,371,840
  5. Step 5: Solve for x
    x = 28,948,371,840/251,760
  6. Step 6: Final answer
    x = 114,984

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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.