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Finding the Fourth Proportional to 119,742.16, 165,240.64 and 66,027.16

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Solution

The fourth proportional to 119,742.16, 165,240.64 and 66,027.16 is: 91,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,742.16 : 165,240.64 = 66,027.16 : x
  2. Step 2: Convert to fraction form
    119,742.16/165,240.64 = 66,027.16/x
  3. Step 3: Cross multiply
    119,742.16x = 165,240.64 × 66,027.16
  4. Step 4: Simplify right side
    119,742.16x = 10,910,370,175.78
  5. Step 5: Solve for x
    x = 10,910,370,175.78/119,742.16
  6. Step 6: Final answer
    x = 91,115.53

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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.