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Finding the Fourth Proportional to 76,781.46, 115,181.42 and 72,582.42

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Solution

The fourth proportional to 76,781.46, 115,181.42 and 72,582.42 is: 108,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781.46 : 115,181.42 = 72,582.42 : x
  2. Step 2: Convert to fraction form
    76,781.46/115,181.42 = 72,582.42/x
  3. Step 3: Cross multiply
    76,781.46x = 115,181.42 × 72,582.42
  4. Step 4: Simplify right side
    76,781.46x = 8,360,146,884.07
  5. Step 5: Solve for x
    x = 8,360,146,884.07/76,781.46
  6. Step 6: Final answer
    x = 108,882.36

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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.