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Finding the Fourth Proportional to 161,201.70, 222,309.63 and 100,753.02

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Solution

The fourth proportional to 161,201.70, 222,309.63 and 100,753.02 is: 138,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,201.70 : 222,309.63 = 100,753.02 : x
  2. Step 2: Convert to fraction form
    161,201.70/222,309.63 = 100,753.02/x
  3. Step 3: Cross multiply
    161,201.70x = 222,309.63 × 100,753.02
  4. Step 4: Simplify right side
    161,201.70x = 22,398,366,597.58
  5. Step 5: Solve for x
    x = 22,398,366,597.58/161,201.70
  6. Step 6: Final answer
    x = 138,946.22

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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.