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Finding the Fourth Proportional to 120,111.66, 165,753 and 66,398.04

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Solution

The fourth proportional to 120,111.66, 165,753 and 66,398.04 is: 91,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,111.66 : 165,753 = 66,398.04 : x
  2. Step 2: Convert to fraction form
    120,111.66/165,753 = 66,398.04/x
  3. Step 3: Cross multiply
    120,111.66x = 165,753 × 66,398.04
  4. Step 4: Simplify right side
    120,111.66x = 11,005,674,324.12
  5. Step 5: Solve for x
    x = 11,005,674,324.12/120,111.66
  6. Step 6: Final answer
    x = 91,628.69

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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.