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Finding the Fourth Proportional to 119,642.90, 165,101.22 and 65,919.24

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Solution

The fourth proportional to 119,642.90, 165,101.22 and 65,919.24 is: 90,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642.90 : 165,101.22 = 65,919.24 : x
  2. Step 2: Convert to fraction form
    119,642.90/165,101.22 = 65,919.24/x
  3. Step 3: Cross multiply
    119,642.90x = 165,101.22 × 65,919.24
  4. Step 4: Simplify right side
    119,642.90x = 10,883,346,945.47
  5. Step 5: Solve for x
    x = 10,883,346,945.47/119,642.90
  6. Step 6: Final answer
    x = 90,965.26

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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.