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Finding the Fourth Proportional to 120,105.08, 165,742.09 and 66,388.71

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Solution

The fourth proportional to 120,105.08, 165,742.09 and 66,388.71 is: 91,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105.08 : 165,742.09 = 66,388.71 : x
  2. Step 2: Convert to fraction form
    120,105.08/165,742.09 = 66,388.71/x
  3. Step 3: Cross multiply
    120,105.08x = 165,742.09 × 66,388.71
  4. Step 4: Simplify right side
    120,105.08x = 11,003,403,547.80
  5. Step 5: Solve for x
    x = 11,003,403,547.80/120,105.08
  6. Step 6: Final answer
    x = 91,614.81

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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.