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Finding the Fourth Proportional to 100,986.55, 139,231.86 and 82,770.20

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Solution

The fourth proportional to 100,986.55, 139,231.86 and 82,770.20 is: 114,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986.55 : 139,231.86 = 82,770.20 : x
  2. Step 2: Convert to fraction form
    100,986.55/139,231.86 = 82,770.20/x
  3. Step 3: Cross multiply
    100,986.55x = 139,231.86 × 82,770.20
  4. Step 4: Simplify right side
    100,986.55x = 11,524,249,662.91
  5. Step 5: Solve for x
    x = 11,524,249,662.91/100,986.55
  6. Step 6: Final answer
    x = 114,116.68

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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.