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Finding the Fourth Proportional to 282,107.68, 389,335.95 and 161,225.87

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Solution

The fourth proportional to 282,107.68, 389,335.95 and 161,225.87 is: 222,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,107.68 : 389,335.95 = 161,225.87 : x
  2. Step 2: Convert to fraction form
    282,107.68/389,335.95 = 161,225.87/x
  3. Step 3: Cross multiply
    282,107.68x = 389,335.95 × 161,225.87
  4. Step 4: Simplify right side
    282,107.68x = 62,771,025,314.35
  5. Step 5: Solve for x
    x = 62,771,025,314.35/282,107.68
  6. Step 6: Final answer
    x = 222,507.33

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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.