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Finding the Fourth Proportional to 50,902.76, 70,242.64 and 30,747.73

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Solution

The fourth proportional to 50,902.76, 70,242.64 and 30,747.73 is: 42,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.76 : 70,242.64 = 30,747.73 : x
  2. Step 2: Convert to fraction form
    50,902.76/70,242.64 = 30,747.73/x
  3. Step 3: Cross multiply
    50,902.76x = 70,242.64 × 30,747.73
  4. Step 4: Simplify right side
    50,902.76x = 2,159,801,729.21
  5. Step 5: Solve for x
    x = 2,159,801,729.21/50,902.76
  6. Step 6: Final answer
    x = 42,429.95

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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.