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Finding the Fourth Proportional to 57,885.62, 86,830.23 and 19,934.50

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Solution

The fourth proportional to 57,885.62, 86,830.23 and 19,934.50 is: 29,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885.62 : 86,830.23 = 19,934.50 : x
  2. Step 2: Convert to fraction form
    57,885.62/86,830.23 = 19,934.50/x
  3. Step 3: Cross multiply
    57,885.62x = 86,830.23 × 19,934.50
  4. Step 4: Simplify right side
    57,885.62x = 1,730,917,219.94
  5. Step 5: Solve for x
    x = 1,730,917,219.94/57,885.62
  6. Step 6: Final answer
    x = 29,902.37

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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.