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Finding the Fourth Proportional to 57,123.88, 85,536.78 and 45,969.64

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Solution

The fourth proportional to 57,123.88, 85,536.78 and 45,969.64 is: 68,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,123.88 : 85,536.78 = 45,969.64 : x
  2. Step 2: Convert to fraction form
    57,123.88/85,536.78 = 45,969.64/x
  3. Step 3: Cross multiply
    57,123.88x = 85,536.78 × 45,969.64
  4. Step 4: Simplify right side
    57,123.88x = 3,932,094,983.36
  5. Step 5: Solve for x
    x = 3,932,094,983.36/57,123.88
  6. Step 6: Final answer
    x = 68,834.52

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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.