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Finding the Fourth Proportional to 160,767.18, 221,863.86 and 89,153.87

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Solution

The fourth proportional to 160,767.18, 221,863.86 and 89,153.87 is: 123,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,767.18 : 221,863.86 = 89,153.87 : x
  2. Step 2: Convert to fraction form
    160,767.18/221,863.86 = 89,153.87/x
  3. Step 3: Cross multiply
    160,767.18x = 221,863.86 × 89,153.87
  4. Step 4: Simplify right side
    160,767.18x = 19,780,020,622.82
  5. Step 5: Solve for x
    x = 19,780,020,622.82/160,767.18
  6. Step 6: Final answer
    x = 123,035.19

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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.