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Finding the Fourth Proportional to 76,142.50, 114,213.75 and 20,738.50

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Solution

The fourth proportional to 76,142.50, 114,213.75 and 20,738.50 is: 31,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.50 : 114,213.75 = 20,738.50 : x
  2. Step 2: Convert to fraction form
    76,142.50/114,213.75 = 20,738.50/x
  3. Step 3: Cross multiply
    76,142.50x = 114,213.75 × 20,738.50
  4. Step 4: Simplify right side
    76,142.50x = 2,368,621,854.38
  5. Step 5: Solve for x
    x = 2,368,621,854.38/76,142.50
  6. Step 6: Final answer
    x = 31,107.75

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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.