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Finding the Fourth Proportional to 50,201.76, 75,290 and 20,627.76

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Solution

The fourth proportional to 50,201.76, 75,290 and 20,627.76 is: 30,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.76 : 75,290 = 20,627.76 : x
  2. Step 2: Convert to fraction form
    50,201.76/75,290 = 20,627.76/x
  3. Step 3: Cross multiply
    50,201.76x = 75,290 × 20,627.76
  4. Step 4: Simplify right side
    50,201.76x = 1,553,064,050.40
  5. Step 5: Solve for x
    x = 1,553,064,050.40/50,201.76
  6. Step 6: Final answer
    x = 30,936.45

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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.