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Finding the Fourth Proportional to 82,483.71, 123,807.57 and 38,120.41

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Solution

The fourth proportional to 82,483.71, 123,807.57 and 38,120.41 is: 57,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.71 : 123,807.57 = 38,120.41 : x
  2. Step 2: Convert to fraction form
    82,483.71/123,807.57 = 38,120.41/x
  3. Step 3: Cross multiply
    82,483.71x = 123,807.57 × 38,120.41
  4. Step 4: Simplify right side
    82,483.71x = 4,719,595,329.50
  5. Step 5: Solve for x
    x = 4,719,595,329.50/82,483.71
  6. Step 6: Final answer
    x = 57,218.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.