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Finding the Fourth Proportional to 57,377.82, 86,031.50 and 19,921.80

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Solution

The fourth proportional to 57,377.82, 86,031.50 and 19,921.80 is: 29,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,377.82 : 86,031.50 = 19,921.80 : x
  2. Step 2: Convert to fraction form
    57,377.82/86,031.50 = 19,921.80/x
  3. Step 3: Cross multiply
    57,377.82x = 86,031.50 × 19,921.80
  4. Step 4: Simplify right side
    57,377.82x = 1,713,902,336.70
  5. Step 5: Solve for x
    x = 1,713,902,336.70/57,377.82
  6. Step 6: Final answer
    x = 29,870.47

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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.