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Finding the Fourth Proportional to 160,140.38, 220,997.43 and 103,650.17

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Solution

The fourth proportional to 160,140.38, 220,997.43 and 103,650.17 is: 143,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,140.38 : 220,997.43 = 103,650.17 : x
  2. Step 2: Convert to fraction form
    160,140.38/220,997.43 = 103,650.17/x
  3. Step 3: Cross multiply
    160,140.38x = 220,997.43 × 103,650.17
  4. Step 4: Simplify right side
    160,140.38x = 22,906,420,084.08
  5. Step 5: Solve for x
    x = 22,906,420,084.08/160,140.38
  6. Step 6: Final answer
    x = 143,039.63

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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.