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Finding the Fourth Proportional to 282,129.01, 389,338.05 and 161,272.93

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Solution

The fourth proportional to 282,129.01, 389,338.05 and 161,272.93 is: 222,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,129.01 : 389,338.05 = 161,272.93 : x
  2. Step 2: Convert to fraction form
    282,129.01/389,338.05 = 161,272.93/x
  3. Step 3: Cross multiply
    282,129.01x = 389,338.05 × 161,272.93
  4. Step 4: Simplify right side
    282,129.01x = 62,789,688,083.99
  5. Step 5: Solve for x
    x = 62,789,688,083.99/282,129.01
  6. Step 6: Final answer
    x = 222,556.65

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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.