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Finding the Fourth Proportional to 57,136.98, 85,723.02 and 25,573.65

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Solution

The fourth proportional to 57,136.98, 85,723.02 and 25,573.65 is: 38,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.98 : 85,723.02 = 25,573.65 : x
  2. Step 2: Convert to fraction form
    57,136.98/85,723.02 = 25,573.65/x
  3. Step 3: Cross multiply
    57,136.98x = 85,723.02 × 25,573.65
  4. Step 4: Simplify right side
    57,136.98x = 2,192,250,510.42
  5. Step 5: Solve for x
    x = 2,192,250,510.42/57,136.98
  6. Step 6: Final answer
    x = 38,368.33

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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.