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Finding the Fourth Proportional to 82,139.10, 113,351.78 and 46,329

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Solution

The fourth proportional to 82,139.10, 113,351.78 and 46,329 is: 63,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139.10 : 113,351.78 = 46,329 : x
  2. Step 2: Convert to fraction form
    82,139.10/113,351.78 = 46,329/x
  3. Step 3: Cross multiply
    82,139.10x = 113,351.78 × 46,329
  4. Step 4: Simplify right side
    82,139.10x = 5,251,474,615.62
  5. Step 5: Solve for x
    x = 5,251,474,615.62/82,139.10
  6. Step 6: Final answer
    x = 63,933.92

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