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Finding the Fourth Proportional to 57,431.80, 85,953.30 and 50,433.40

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Solution

The fourth proportional to 57,431.80, 85,953.30 and 50,433.40 is: 75,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,431.80 : 85,953.30 = 50,433.40 : x
  2. Step 2: Convert to fraction form
    57,431.80/85,953.30 = 50,433.40/x
  3. Step 3: Cross multiply
    57,431.80x = 85,953.30 × 50,433.40
  4. Step 4: Simplify right side
    57,431.80x = 4,334,917,160.22
  5. Step 5: Solve for x
    x = 4,334,917,160.22/57,431.80
  6. Step 6: Final answer
    x = 75,479.39

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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.