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Finding the Fourth Proportional to 56,762.74, 85,143.18 and 19,348.86

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Solution

The fourth proportional to 56,762.74, 85,143.18 and 19,348.86 is: 29,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,762.74 : 85,143.18 = 19,348.86 : x
  2. Step 2: Convert to fraction form
    56,762.74/85,143.18 = 19,348.86/x
  3. Step 3: Cross multiply
    56,762.74x = 85,143.18 × 19,348.86
  4. Step 4: Simplify right side
    56,762.74x = 1,647,423,469.77
  5. Step 5: Solve for x
    x = 1,647,423,469.77/56,762.74
  6. Step 6: Final answer
    x = 29,022.97

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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.