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Finding the Fourth Proportional to 50,887.44, 70,223 and 30,740.80

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Solution

The fourth proportional to 50,887.44, 70,223 and 30,740.80 is: 42,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.44 : 70,223 = 30,740.80 : x
  2. Step 2: Convert to fraction form
    50,887.44/70,223 = 30,740.80/x
  3. Step 3: Cross multiply
    50,887.44x = 70,223 × 30,740.80
  4. Step 4: Simplify right side
    50,887.44x = 2,158,711,198.40
  5. Step 5: Solve for x
    x = 2,158,711,198.40/50,887.44
  6. Step 6: Final answer
    x = 42,421.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.