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Finding the Fourth Proportional to 57,307.34, 79,081.70 and 31,811.78

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Solution

The fourth proportional to 57,307.34, 79,081.70 and 31,811.78 is: 43,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,307.34 : 79,081.70 = 31,811.78 : x
  2. Step 2: Convert to fraction form
    57,307.34/79,081.70 = 31,811.78/x
  3. Step 3: Cross multiply
    57,307.34x = 79,081.70 × 31,811.78
  4. Step 4: Simplify right side
    57,307.34x = 2,515,729,642.43
  5. Step 5: Solve for x
    x = 2,515,729,642.43/57,307.34
  6. Step 6: Final answer
    x = 43,898.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.