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Finding the Fourth Proportional to 58,776.81, 81,112.30 and 31,919.54

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Solution

The fourth proportional to 58,776.81, 81,112.30 and 31,919.54 is: 44,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,776.81 : 81,112.30 = 31,919.54 : x
  2. Step 2: Convert to fraction form
    58,776.81/81,112.30 = 31,919.54/x
  3. Step 3: Cross multiply
    58,776.81x = 81,112.30 × 31,919.54
  4. Step 4: Simplify right side
    58,776.81x = 2,589,067,304.34
  5. Step 5: Solve for x
    x = 2,589,067,304.34/58,776.81
  6. Step 6: Final answer
    x = 44,049.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.