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Finding the Fourth Proportional to 76,668, 115,002 and 21,264

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Solution

The fourth proportional to 76,668, 115,002 and 21,264 is: 31,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 115,002 = 21,264 : x
  2. Step 2: Convert to fraction form
    76,668/115,002 = 21,264/x
  3. Step 3: Cross multiply
    76,668x = 115,002 × 21,264
  4. Step 4: Simplify right side
    76,668x = 2,445,402,528
  5. Step 5: Solve for x
    x = 2,445,402,528/76,668
  6. Step 6: Final answer
    x = 31,896

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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.