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Finding the Fourth Proportional to 78,142.14, 117,018.81 and 54,658.62

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Solution

The fourth proportional to 78,142.14, 117,018.81 and 54,658.62 is: 81,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,142.14 : 117,018.81 = 54,658.62 : x
  2. Step 2: Convert to fraction form
    78,142.14/117,018.81 = 54,658.62/x
  3. Step 3: Cross multiply
    78,142.14x = 117,018.81 × 54,658.62
  4. Step 4: Simplify right side
    78,142.14x = 6,396,086,668.64
  5. Step 5: Solve for x
    x = 6,396,086,668.64/78,142.14
  6. Step 6: Final answer
    x = 81,851.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.