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Finding the Fourth Proportional to 76,842, 115,218.72 and 30,069.36

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Solution

The fourth proportional to 76,842, 115,218.72 and 30,069.36 is: 45,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 115,218.72 = 30,069.36 : x
  2. Step 2: Convert to fraction form
    76,842/115,218.72 = 30,069.36/x
  3. Step 3: Cross multiply
    76,842x = 115,218.72 × 30,069.36
  4. Step 4: Simplify right side
    76,842x = 3,464,553,170.42
  5. Step 5: Solve for x
    x = 3,464,553,170.42/76,842
  6. Step 6: Final answer
    x = 45,086.71

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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.