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Finding the Fourth Proportional to 116,814, 161,203.32 and 63,822

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Solution

The fourth proportional to 116,814, 161,203.32 and 63,822 is: 88,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,814 : 161,203.32 = 63,822 : x
  2. Step 2: Convert to fraction form
    116,814/161,203.32 = 63,822/x
  3. Step 3: Cross multiply
    116,814x = 161,203.32 × 63,822
  4. Step 4: Simplify right side
    116,814x = 10,288,318,289.04
  5. Step 5: Solve for x
    x = 10,288,318,289.04/116,814
  6. Step 6: Final answer
    x = 88,074.36

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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.