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Finding the Fourth Proportional to 160,798.10, 221,914.66 and 89,201.20

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Solution

The fourth proportional to 160,798.10, 221,914.66 and 89,201.20 is: 123,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798.10 : 221,914.66 = 89,201.20 : x
  2. Step 2: Convert to fraction form
    160,798.10/221,914.66 = 89,201.20/x
  3. Step 3: Cross multiply
    160,798.10x = 221,914.66 × 89,201.20
  4. Step 4: Simplify right side
    160,798.10x = 19,795,053,969.59
  5. Step 5: Solve for x
    x = 19,795,053,969.59/160,798.10
  6. Step 6: Final answer
    x = 123,105.02

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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.