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Finding the Fourth Proportional to 56,493.70, 77,961.09 and 31,000.49

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Solution

The fourth proportional to 56,493.70, 77,961.09 and 31,000.49 is: 42,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.70 : 77,961.09 = 31,000.49 : x
  2. Step 2: Convert to fraction form
    56,493.70/77,961.09 = 31,000.49/x
  3. Step 3: Cross multiply
    56,493.70x = 77,961.09 × 31,000.49
  4. Step 4: Simplify right side
    56,493.70x = 2,416,832,243.03
  5. Step 5: Solve for x
    x = 2,416,832,243.03/56,493.70
  6. Step 6: Final answer
    x = 42,780.56

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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.