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Finding the Fourth Proportional to 76,640, 114,960 and 21,236

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Solution

The fourth proportional to 76,640, 114,960 and 21,236 is: 31,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 114,960 = 21,236 : x
  2. Step 2: Convert to fraction form
    76,640/114,960 = 21,236/x
  3. Step 3: Cross multiply
    76,640x = 114,960 × 21,236
  4. Step 4: Simplify right side
    76,640x = 2,441,290,560
  5. Step 5: Solve for x
    x = 2,441,290,560/76,640
  6. Step 6: Final answer
    x = 31,854

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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.