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Finding the Fourth Proportional to 57,462.79, 86,175.63 and 20,942.58

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Solution

The fourth proportional to 57,462.79, 86,175.63 and 20,942.58 is: 31,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.79 : 86,175.63 = 20,942.58 : x
  2. Step 2: Convert to fraction form
    57,462.79/86,175.63 = 20,942.58/x
  3. Step 3: Cross multiply
    57,462.79x = 86,175.63 × 20,942.58
  4. Step 4: Simplify right side
    57,462.79x = 1,804,739,709.73
  5. Step 5: Solve for x
    x = 1,804,739,709.73/57,462.79
  6. Step 6: Final answer
    x = 31,407.10

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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.