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Finding the Fourth Proportional to 110,398.48, 165,089.04 and 81,989.08

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Solution

The fourth proportional to 110,398.48, 165,089.04 and 81,989.08 is: 122,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,398.48 : 165,089.04 = 81,989.08 : x
  2. Step 2: Convert to fraction form
    110,398.48/165,089.04 = 81,989.08/x
  3. Step 3: Cross multiply
    110,398.48x = 165,089.04 × 81,989.08
  4. Step 4: Simplify right side
    110,398.48x = 13,535,498,507.68
  5. Step 5: Solve for x
    x = 13,535,498,507.68/110,398.48
  6. Step 6: Final answer
    x = 122,605.84

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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.