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Finding the Fourth Proportional to 78,468.14, 108,286.74 and 42,658.16

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Solution

The fourth proportional to 78,468.14, 108,286.74 and 42,658.16 is: 58,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.14 : 108,286.74 = 42,658.16 : x
  2. Step 2: Convert to fraction form
    78,468.14/108,286.74 = 42,658.16/x
  3. Step 3: Cross multiply
    78,468.14x = 108,286.74 × 42,658.16
  4. Step 4: Simplify right side
    78,468.14x = 4,619,313,080.80
  5. Step 5: Solve for x
    x = 4,619,313,080.80/78,468.14
  6. Step 6: Final answer
    x = 58,868.65

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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.