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Finding the Fourth Proportional to 160,854, 221,945.58 and 89,218.68

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Solution

The fourth proportional to 160,854, 221,945.58 and 89,218.68 is: 123,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,854 : 221,945.58 = 89,218.68 : x
  2. Step 2: Convert to fraction form
    160,854/221,945.58 = 89,218.68/x
  3. Step 3: Cross multiply
    160,854x = 221,945.58 × 89,218.68
  4. Step 4: Simplify right side
    160,854x = 19,801,691,679.43
  5. Step 5: Solve for x
    x = 19,801,691,679.43/160,854
  6. Step 6: Final answer
    x = 123,103.51

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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.