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Finding the Fourth Proportional to 50,472, 75,656.70 and 20,905.92

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Solution

The fourth proportional to 50,472, 75,656.70 and 20,905.92 is: 31,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 75,656.70 = 20,905.92 : x
  2. Step 2: Convert to fraction form
    50,472/75,656.70 = 20,905.92/x
  3. Step 3: Cross multiply
    50,472x = 75,656.70 × 20,905.92
  4. Step 4: Simplify right side
    50,472x = 1,581,672,917.66
  5. Step 5: Solve for x
    x = 1,581,672,917.66/50,472
  6. Step 6: Final answer
    x = 31,337.63

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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.