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Finding the Fourth Proportional to 50,253, 75,379.50 and 20,686.92

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Solution

The fourth proportional to 50,253, 75,379.50 and 20,686.92 is: 31,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,253 : 75,379.50 = 20,686.92 : x
  2. Step 2: Convert to fraction form
    50,253/75,379.50 = 20,686.92/x
  3. Step 3: Cross multiply
    50,253x = 75,379.50 × 20,686.92
  4. Step 4: Simplify right side
    50,253x = 1,559,369,686.14
  5. Step 5: Solve for x
    x = 1,559,369,686.14/50,253
  6. Step 6: Final answer
    x = 31,030.38

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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.