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Finding the Fourth Proportional to 110,399.48, 165,090.54 and 81,990.08

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Solution

The fourth proportional to 110,399.48, 165,090.54 and 81,990.08 is: 122,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,399.48 : 165,090.54 = 81,990.08 : x
  2. Step 2: Convert to fraction form
    110,399.48/165,090.54 = 81,990.08/x
  3. Step 3: Cross multiply
    110,399.48x = 165,090.54 × 81,990.08
  4. Step 4: Simplify right side
    110,399.48x = 13,535,786,581.84
  5. Step 5: Solve for x
    x = 13,535,786,581.84/110,399.48
  6. Step 6: Final answer
    x = 122,607.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.