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Finding the Fourth Proportional to 76,809.78, 115,200.09 and 24,205.14

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Solution

The fourth proportional to 76,809.78, 115,200.09 and 24,205.14 is: 36,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.78 : 115,200.09 = 24,205.14 : x
  2. Step 2: Convert to fraction form
    76,809.78/115,200.09 = 24,205.14/x
  3. Step 3: Cross multiply
    76,809.78x = 115,200.09 × 24,205.14
  4. Step 4: Simplify right side
    76,809.78x = 2,788,434,306.46
  5. Step 5: Solve for x
    x = 2,788,434,306.46/76,809.78
  6. Step 6: Final answer
    x = 36,303.12

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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.