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Finding the Fourth Proportional to 160,759.82, 221,848.17 and 89,138

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Solution

The fourth proportional to 160,759.82, 221,848.17 and 89,138 is: 123,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,759.82 : 221,848.17 = 89,138 : x
  2. Step 2: Convert to fraction form
    160,759.82/221,848.17 = 89,138/x
  3. Step 3: Cross multiply
    160,759.82x = 221,848.17 × 89,138
  4. Step 4: Simplify right side
    160,759.82x = 19,775,102,177.46
  5. Step 5: Solve for x
    x = 19,775,102,177.46/160,759.82
  6. Step 6: Final answer
    x = 123,010.23

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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.