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Finding the Fourth Proportional to 76,820.50, 115,230.75 and 18,452.50

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Solution

The fourth proportional to 76,820.50, 115,230.75 and 18,452.50 is: 27,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820.50 : 115,230.75 = 18,452.50 : x
  2. Step 2: Convert to fraction form
    76,820.50/115,230.75 = 18,452.50/x
  3. Step 3: Cross multiply
    76,820.50x = 115,230.75 × 18,452.50
  4. Step 4: Simplify right side
    76,820.50x = 2,126,295,414.38
  5. Step 5: Solve for x
    x = 2,126,295,414.38/76,820.50
  6. Step 6: Final answer
    x = 27,678.75

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1.5x scale

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.