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Finding the Fourth Proportional to 57,016.70, 78,663.78 and 36,899

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Solution

The fourth proportional to 57,016.70, 78,663.78 and 36,899 is: 50,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.70 : 78,663.78 = 36,899 : x
  2. Step 2: Convert to fraction form
    57,016.70/78,663.78 = 36,899/x
  3. Step 3: Cross multiply
    57,016.70x = 78,663.78 × 36,899
  4. Step 4: Simplify right side
    57,016.70x = 2,902,614,818.22
  5. Step 5: Solve for x
    x = 2,902,614,818.22/57,016.70
  6. Step 6: Final answer
    x = 50,908.15

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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.