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Finding the Fourth Proportional to 51,997.71, 77,948.73 and 28,270.59

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Solution

The fourth proportional to 51,997.71, 77,948.73 and 28,270.59 is: 42,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.71 : 77,948.73 = 28,270.59 : x
  2. Step 2: Convert to fraction form
    51,997.71/77,948.73 = 28,270.59/x
  3. Step 3: Cross multiply
    51,997.71x = 77,948.73 × 28,270.59
  4. Step 4: Simplify right side
    51,997.71x = 2,203,656,294.54
  5. Step 5: Solve for x
    x = 2,203,656,294.54/51,997.71
  6. Step 6: Final answer
    x = 42,379.87

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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.