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Finding the Fourth Proportional to 102,791.81, 154,327.60 and 57,844.92

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Solution

The fourth proportional to 102,791.81, 154,327.60 and 57,844.92 is: 86,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791.81 : 154,327.60 = 57,844.92 : x
  2. Step 2: Convert to fraction form
    102,791.81/154,327.60 = 57,844.92/x
  3. Step 3: Cross multiply
    102,791.81x = 154,327.60 × 57,844.92
  4. Step 4: Simplify right side
    102,791.81x = 8,927,067,675.79
  5. Step 5: Solve for x
    x = 8,927,067,675.79/102,791.81
  6. Step 6: Final answer
    x = 86,846.10

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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.