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Finding the Fourth Proportional to 56,857.57, 85,306.02 and 19,444

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Solution

The fourth proportional to 56,857.57, 85,306.02 and 19,444 is: 29,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,857.57 : 85,306.02 = 19,444 : x
  2. Step 2: Convert to fraction form
    56,857.57/85,306.02 = 19,444/x
  3. Step 3: Cross multiply
    56,857.57x = 85,306.02 × 19,444
  4. Step 4: Simplify right side
    56,857.57x = 1,658,690,252.88
  5. Step 5: Solve for x
    x = 1,658,690,252.88/56,857.57
  6. Step 6: Final answer
    x = 29,172.72

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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.