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Finding the Fourth Proportional to 119,634.20, 165,102.56 and 65,919.20

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Solution

The fourth proportional to 119,634.20, 165,102.56 and 65,919.20 is: 90,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,634.20 : 165,102.56 = 65,919.20 : x
  2. Step 2: Convert to fraction form
    119,634.20/165,102.56 = 65,919.20/x
  3. Step 3: Cross multiply
    119,634.20x = 165,102.56 × 65,919.20
  4. Step 4: Simplify right side
    119,634.20x = 10,883,429,250.71
  5. Step 5: Solve for x
    x = 10,883,429,250.71/119,634.20
  6. Step 6: Final answer
    x = 90,972.56

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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.