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Finding the Fourth Proportional to 56,885.04, 78,503.04 and 31,734

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Solution

The fourth proportional to 56,885.04, 78,503.04 and 31,734 is: 43,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,885.04 : 78,503.04 = 31,734 : x
  2. Step 2: Convert to fraction form
    56,885.04/78,503.04 = 31,734/x
  3. Step 3: Cross multiply
    56,885.04x = 78,503.04 × 31,734
  4. Step 4: Simplify right side
    56,885.04x = 2,491,215,471.36
  5. Step 5: Solve for x
    x = 2,491,215,471.36/56,885.04
  6. Step 6: Final answer
    x = 43,793.86

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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.