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Finding the Fourth Proportional to 50,502, 75,768.72 and 20,933.76

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Solution

The fourth proportional to 50,502, 75,768.72 and 20,933.76 is: 31,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502 : 75,768.72 = 20,933.76 : x
  2. Step 2: Convert to fraction form
    50,502/75,768.72 = 20,933.76/x
  3. Step 3: Cross multiply
    50,502x = 75,768.72 × 20,933.76
  4. Step 4: Simplify right side
    50,502x = 1,586,124,199.99
  5. Step 5: Solve for x
    x = 1,586,124,199.99/50,502
  6. Step 6: Final answer
    x = 31,407.16

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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.