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Finding the Fourth Proportional to 57,413, 86,122.80 and 20,477

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Solution

The fourth proportional to 57,413, 86,122.80 and 20,477 is: 30,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 86,122.80 = 20,477 : x
  2. Step 2: Convert to fraction form
    57,413/86,122.80 = 20,477/x
  3. Step 3: Cross multiply
    57,413x = 86,122.80 × 20,477
  4. Step 4: Simplify right side
    57,413x = 1,763,536,575.60
  5. Step 5: Solve for x
    x = 1,763,536,575.60/57,413
  6. Step 6: Final answer
    x = 30,716.68

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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.