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Finding the Fourth Proportional to 76,919.72, 115,000.27 and 65,204.24

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Solution

The fourth proportional to 76,919.72, 115,000.27 and 65,204.24 is: 97,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,919.72 : 115,000.27 = 65,204.24 : x
  2. Step 2: Convert to fraction form
    76,919.72/115,000.27 = 65,204.24/x
  3. Step 3: Cross multiply
    76,919.72x = 115,000.27 × 65,204.24
  4. Step 4: Simplify right side
    76,919.72x = 7,498,504,467.13
  5. Step 5: Solve for x
    x = 7,498,504,467.13/76,919.72
  6. Step 6: Final answer
    x = 97,484.82

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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.