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Finding the Fourth Proportional to 76,809.52, 115,214.10 and 30,029.50

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Solution

The fourth proportional to 76,809.52, 115,214.10 and 30,029.50 is: 45,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.52 : 115,214.10 = 30,029.50 : x
  2. Step 2: Convert to fraction form
    76,809.52/115,214.10 = 30,029.50/x
  3. Step 3: Cross multiply
    76,809.52x = 115,214.10 × 30,029.50
  4. Step 4: Simplify right side
    76,809.52x = 3,459,821,815.95
  5. Step 5: Solve for x
    x = 3,459,821,815.95/76,809.52
  6. Step 6: Final answer
    x = 45,044.18

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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.