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Finding the Fourth Proportional to 50,404.71, 75,641.04 and 20,822.42

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Solution

The fourth proportional to 50,404.71, 75,641.04 and 20,822.42 is: 31,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.71 : 75,641.04 = 20,822.42 : x
  2. Step 2: Convert to fraction form
    50,404.71/75,641.04 = 20,822.42/x
  3. Step 3: Cross multiply
    50,404.71x = 75,641.04 × 20,822.42
  4. Step 4: Simplify right side
    50,404.71x = 1,575,029,267.74
  5. Step 5: Solve for x
    x = 1,575,029,267.74/50,404.71
  6. Step 6: Final answer
    x = 31,247.66

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1.5x scale

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.