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Finding the Fourth Proportional to 85,385.70, 117,829.16 and 47,144.42

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Solution

The fourth proportional to 85,385.70, 117,829.16 and 47,144.42 is: 65,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,385.70 : 117,829.16 = 47,144.42 : x
  2. Step 2: Convert to fraction form
    85,385.70/117,829.16 = 47,144.42/x
  3. Step 3: Cross multiply
    85,385.70x = 117,829.16 × 47,144.42
  4. Step 4: Simplify right side
    85,385.70x = 5,554,986,582.42
  5. Step 5: Solve for x
    x = 5,554,986,582.42/85,385.70
  6. Step 6: Final answer
    x = 65,057.58

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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.