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Finding the Fourth Proportional to 76,999.20, 115,498.80 and 37,581.60

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Solution

The fourth proportional to 76,999.20, 115,498.80 and 37,581.60 is: 56,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,999.20 : 115,498.80 = 37,581.60 : x
  2. Step 2: Convert to fraction form
    76,999.20/115,498.80 = 37,581.60/x
  3. Step 3: Cross multiply
    76,999.20x = 115,498.80 × 37,581.60
  4. Step 4: Simplify right side
    76,999.20x = 4,340,629,702.08
  5. Step 5: Solve for x
    x = 4,340,629,702.08/76,999.20
  6. Step 6: Final answer
    x = 56,372.40

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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.