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Finding the Fourth Proportional to 50,658.72, 75,965.96 and 19,472

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Solution

The fourth proportional to 50,658.72, 75,965.96 and 19,472 is: 29,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.72 : 75,965.96 = 19,472 : x
  2. Step 2: Convert to fraction form
    50,658.72/75,965.96 = 19,472/x
  3. Step 3: Cross multiply
    50,658.72x = 75,965.96 × 19,472
  4. Step 4: Simplify right side
    50,658.72x = 1,479,209,173.12
  5. Step 5: Solve for x
    x = 1,479,209,173.12/50,658.72
  6. Step 6: Final answer
    x = 29,199.50

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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.