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Finding the Fourth Proportional to 215,838.28, 323,572.81 and 82,814

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Solution

The fourth proportional to 215,838.28, 323,572.81 and 82,814 is: 124,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,838.28 : 323,572.81 = 82,814 : x
  2. Step 2: Convert to fraction form
    215,838.28/323,572.81 = 82,814/x
  3. Step 3: Cross multiply
    215,838.28x = 323,572.81 × 82,814
  4. Step 4: Simplify right side
    215,838.28x = 26,796,358,687.34
  5. Step 5: Solve for x
    x = 26,796,358,687.34/215,838.28
  6. Step 6: Final answer
    x = 124,150.17

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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.