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Finding the Fourth Proportional to 258,651.82, 387,994.12 and 81,165.83

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Solution

The fourth proportional to 258,651.82, 387,994.12 and 81,165.83 is: 121,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,651.82 : 387,994.12 = 81,165.83 : x
  2. Step 2: Convert to fraction form
    258,651.82/387,994.12 = 81,165.83/x
  3. Step 3: Cross multiply
    258,651.82x = 387,994.12 × 81,165.83
  4. Step 4: Simplify right side
    258,651.82x = 31,491,865,281.06
  5. Step 5: Solve for x
    x = 31,491,865,281.06/258,651.82
  6. Step 6: Final answer
    x = 121,753.89

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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.