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Finding the Fourth Proportional to 51,721, 77,586 and 14,281.12

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Solution

The fourth proportional to 51,721, 77,586 and 14,281.12 is: 21,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,721 : 77,586 = 14,281.12 : x
  2. Step 2: Convert to fraction form
    51,721/77,586 = 14,281.12/x
  3. Step 3: Cross multiply
    51,721x = 77,586 × 14,281.12
  4. Step 4: Simplify right side
    51,721x = 1,108,014,976.32
  5. Step 5: Solve for x
    x = 1,108,014,976.32/51,721
  6. Step 6: Final answer
    x = 21,422.92

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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.