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Finding the Fourth Proportional to 51,902.91, 77,809.55 and 20,717.91

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Solution

The fourth proportional to 51,902.91, 77,809.55 and 20,717.91 is: 31,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.91 : 77,809.55 = 20,717.91 : x
  2. Step 2: Convert to fraction form
    51,902.91/77,809.55 = 20,717.91/x
  3. Step 3: Cross multiply
    51,902.91x = 77,809.55 × 20,717.91
  4. Step 4: Simplify right side
    51,902.91x = 1,612,051,150.45
  5. Step 5: Solve for x
    x = 1,612,051,150.45/51,902.91
  6. Step 6: Final answer
    x = 31,058.97

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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.