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Finding the Fourth Proportional to 118,674, 163,770.12 and 65,682

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Solution

The fourth proportional to 118,674, 163,770.12 and 65,682 is: 90,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,674 : 163,770.12 = 65,682 : x
  2. Step 2: Convert to fraction form
    118,674/163,770.12 = 65,682/x
  3. Step 3: Cross multiply
    118,674x = 163,770.12 × 65,682
  4. Step 4: Simplify right side
    118,674x = 10,756,749,021.84
  5. Step 5: Solve for x
    x = 10,756,749,021.84/118,674
  6. Step 6: Final answer
    x = 90,641.16

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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.