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Finding the Fourth Proportional to 50,822.87, 76,228.53 and 13,385.87

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Solution

The fourth proportional to 50,822.87, 76,228.53 and 13,385.87 is: 20,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,822.87 : 76,228.53 = 13,385.87 : x
  2. Step 2: Convert to fraction form
    50,822.87/76,228.53 = 13,385.87/x
  3. Step 3: Cross multiply
    50,822.87x = 76,228.53 × 13,385.87
  4. Step 4: Simplify right side
    50,822.87x = 1,020,385,290.71
  5. Step 5: Solve for x
    x = 1,020,385,290.71/50,822.87
  6. Step 6: Final answer
    x = 20,077.29

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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.