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Finding the Fourth Proportional to 76,827.71, 115,282.89 and 74,031.80

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Solution

The fourth proportional to 76,827.71, 115,282.89 and 74,031.80 is: 111,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827.71 : 115,282.89 = 74,031.80 : x
  2. Step 2: Convert to fraction form
    76,827.71/115,282.89 = 74,031.80/x
  3. Step 3: Cross multiply
    76,827.71x = 115,282.89 × 74,031.80
  4. Step 4: Simplify right side
    76,827.71x = 8,534,599,279.49
  5. Step 5: Solve for x
    x = 8,534,599,279.49/76,827.71
  6. Step 6: Final answer
    x = 111,087.51

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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.