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Finding the Fourth Proportional to 160,816.96, 221,941 and 89,220

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Solution

The fourth proportional to 160,816.96, 221,941 and 89,220 is: 123,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,816.96 : 221,941 = 89,220 : x
  2. Step 2: Convert to fraction form
    160,816.96/221,941 = 89,220/x
  3. Step 3: Cross multiply
    160,816.96x = 221,941 × 89,220
  4. Step 4: Simplify right side
    160,816.96x = 19,801,576,020
  5. Step 5: Solve for x
    x = 19,801,576,020/160,816.96
  6. Step 6: Final answer
    x = 123,131.14

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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.