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Finding the Fourth Proportional to 51,911.86, 77,863.90 and 20,315.86

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Solution

The fourth proportional to 51,911.86, 77,863.90 and 20,315.86 is: 30,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,911.86 : 77,863.90 = 20,315.86 : x
  2. Step 2: Convert to fraction form
    51,911.86/77,863.90 = 20,315.86/x
  3. Step 3: Cross multiply
    51,911.86x = 77,863.90 × 20,315.86
  4. Step 4: Simplify right side
    51,911.86x = 1,581,872,091.45
  5. Step 5: Solve for x
    x = 1,581,872,091.45/51,911.86
  6. Step 6: Final answer
    x = 30,472.27

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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.