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Finding the Fourth Proportional to 57,178.44, 78,911.01 and 31,690.98

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Solution

The fourth proportional to 57,178.44, 78,911.01 and 31,690.98 is: 43,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.44 : 78,911.01 = 31,690.98 : x
  2. Step 2: Convert to fraction form
    57,178.44/78,911.01 = 31,690.98/x
  3. Step 3: Cross multiply
    57,178.44x = 78,911.01 × 31,690.98
  4. Step 4: Simplify right side
    57,178.44x = 2,500,767,239.69
  5. Step 5: Solve for x
    x = 2,500,767,239.69/57,178.44
  6. Step 6: Final answer
    x = 43,736.19

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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.