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Finding the Fourth Proportional to 56,768.70, 85,191.45 and 31,808.70

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Solution

The fourth proportional to 56,768.70, 85,191.45 and 31,808.70 is: 47,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,768.70 : 85,191.45 = 31,808.70 : x
  2. Step 2: Convert to fraction form
    56,768.70/85,191.45 = 31,808.70/x
  3. Step 3: Cross multiply
    56,768.70x = 85,191.45 × 31,808.70
  4. Step 4: Simplify right side
    56,768.70x = 2,709,829,275.62
  5. Step 5: Solve for x
    x = 2,709,829,275.62/56,768.70
  6. Step 6: Final answer
    x = 47,734.57

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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.