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Finding the Fourth Proportional to 281,953.83, 389,060.33 and 161,102.95

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Solution

The fourth proportional to 281,953.83, 389,060.33 and 161,102.95 is: 222,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,953.83 : 389,060.33 = 161,102.95 : x
  2. Step 2: Convert to fraction form
    281,953.83/389,060.33 = 161,102.95/x
  3. Step 3: Cross multiply
    281,953.83x = 389,060.33 × 161,102.95
  4. Step 4: Simplify right side
    281,953.83x = 62,678,766,890.97
  5. Step 5: Solve for x
    x = 62,678,766,890.97/281,953.83
  6. Step 6: Final answer
    x = 222,301.53

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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.