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Finding the Fourth Proportional to 215,568.71, 323,403.14 and 73,415.21

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Solution

The fourth proportional to 215,568.71, 323,403.14 and 73,415.21 is: 110,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,568.71 : 323,403.14 = 73,415.21 : x
  2. Step 2: Convert to fraction form
    215,568.71/323,403.14 = 73,415.21/x
  3. Step 3: Cross multiply
    215,568.71x = 323,403.14 × 73,415.21
  4. Step 4: Simplify right side
    215,568.71x = 23,742,709,217.04
  5. Step 5: Solve for x
    x = 23,742,709,217.04/215,568.71
  6. Step 6: Final answer
    x = 110,139.87

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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.