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Finding the Fourth Proportional to 56,938.42, 85,398.85 and 19,489.90

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Solution

The fourth proportional to 56,938.42, 85,398.85 and 19,489.90 is: 29,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938.42 : 85,398.85 = 19,489.90 : x
  2. Step 2: Convert to fraction form
    56,938.42/85,398.85 = 19,489.90/x
  3. Step 3: Cross multiply
    56,938.42x = 85,398.85 × 19,489.90
  4. Step 4: Simplify right side
    56,938.42x = 1,664,415,046.62
  5. Step 5: Solve for x
    x = 1,664,415,046.62/56,938.42
  6. Step 6: Final answer
    x = 29,231.84

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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.