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Finding the Fourth Proportional to 221,513, 305,694.42 and 120,917.48

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Solution

The fourth proportional to 221,513, 305,694.42 and 120,917.48 is: 166,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,513 : 305,694.42 = 120,917.48 : x
  2. Step 2: Convert to fraction form
    221,513/305,694.42 = 120,917.48/x
  3. Step 3: Cross multiply
    221,513x = 305,694.42 × 120,917.48
  4. Step 4: Simplify right side
    221,513x = 36,963,798,916.46
  5. Step 5: Solve for x
    x = 36,963,798,916.46/221,513
  6. Step 6: Final answer
    x = 166,869.66

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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.