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Finding the Fourth Proportional to 57,149.77, 85,730.31 and 19,704.93

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Solution

The fourth proportional to 57,149.77, 85,730.31 and 19,704.93 is: 29,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.77 : 85,730.31 = 19,704.93 : x
  2. Step 2: Convert to fraction form
    57,149.77/85,730.31 = 19,704.93/x
  3. Step 3: Cross multiply
    57,149.77x = 85,730.31 × 19,704.93
  4. Step 4: Simplify right side
    57,149.77x = 1,689,309,757.43
  5. Step 5: Solve for x
    x = 1,689,309,757.43/57,149.77
  6. Step 6: Final answer
    x = 29,559.34

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1.5x scale

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.