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Finding the Fourth Proportional to 160,657.90, 221,704.49 and 89,037.29

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Solution

The fourth proportional to 160,657.90, 221,704.49 and 89,037.29 is: 122,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,657.90 : 221,704.49 = 89,037.29 : x
  2. Step 2: Convert to fraction form
    160,657.90/221,704.49 = 89,037.29/x
  3. Step 3: Cross multiply
    160,657.90x = 221,704.49 × 89,037.29
  4. Step 4: Simplify right side
    160,657.90x = 19,739,967,747.29
  5. Step 5: Solve for x
    x = 19,739,967,747.29/160,657.90
  6. Step 6: Final answer
    x = 122,869.58

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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.