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Finding the Fourth Proportional to 161,641.80, 223,004.34 and 97,956.36

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Solution

The fourth proportional to 161,641.80, 223,004.34 and 97,956.36 is: 135,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,641.80 : 223,004.34 = 97,956.36 : x
  2. Step 2: Convert to fraction form
    161,641.80/223,004.34 = 97,956.36/x
  3. Step 3: Cross multiply
    161,641.80x = 223,004.34 × 97,956.36
  4. Step 4: Simplify right side
    161,641.80x = 21,844,693,410.60
  5. Step 5: Solve for x
    x = 21,844,693,410.60/161,641.80
  6. Step 6: Final answer
    x = 135,142.60

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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.