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Finding the Fourth Proportional to 119,814, 165,343.32 and 66,822

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Solution

The fourth proportional to 119,814, 165,343.32 and 66,822 is: 92,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,814 : 165,343.32 = 66,822 : x
  2. Step 2: Convert to fraction form
    119,814/165,343.32 = 66,822/x
  3. Step 3: Cross multiply
    119,814x = 165,343.32 × 66,822
  4. Step 4: Simplify right side
    119,814x = 11,048,571,329.04
  5. Step 5: Solve for x
    x = 11,048,571,329.04/119,814
  6. Step 6: Final answer
    x = 92,214.36

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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.