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Finding the Fourth Proportional to 77,199.98, 115,788.12 and 21,044.61

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Solution

The fourth proportional to 77,199.98, 115,788.12 and 21,044.61 is: 31,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,199.98 : 115,788.12 = 21,044.61 : x
  2. Step 2: Convert to fraction form
    77,199.98/115,788.12 = 21,044.61/x
  3. Step 3: Cross multiply
    77,199.98x = 115,788.12 × 21,044.61
  4. Step 4: Simplify right side
    77,199.98x = 2,436,715,828.03
  5. Step 5: Solve for x
    x = 2,436,715,828.03/77,199.98
  6. Step 6: Final answer
    x = 31,563.68

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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.