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Finding the Fourth Proportional to 76,858.80, 115,266.60 and 24,284.40

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Solution

The fourth proportional to 76,858.80, 115,266.60 and 24,284.40 is: 36,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.80 : 115,266.60 = 24,284.40 : x
  2. Step 2: Convert to fraction form
    76,858.80/115,266.60 = 24,284.40/x
  3. Step 3: Cross multiply
    76,858.80x = 115,266.60 × 24,284.40
  4. Step 4: Simplify right side
    76,858.80x = 2,799,180,221.04
  5. Step 5: Solve for x
    x = 2,799,180,221.04/76,858.80
  6. Step 6: Final answer
    x = 36,419.78

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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.