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Finding the Fourth Proportional to 120,105.58, 165,742.77 and 66,389.21

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Solution

The fourth proportional to 120,105.58, 165,742.77 and 66,389.21 is: 91,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105.58 : 165,742.77 = 66,389.21 : x
  2. Step 2: Convert to fraction form
    120,105.58/165,742.77 = 66,389.21/x
  3. Step 3: Cross multiply
    120,105.58x = 165,742.77 × 66,389.21
  4. Step 4: Simplify right side
    120,105.58x = 11,003,531,563.51
  5. Step 5: Solve for x
    x = 11,003,531,563.51/120,105.58
  6. Step 6: Final answer
    x = 91,615.49

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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.