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Finding the Fourth Proportional to 56,878.20, 85,328.24 and 21,815.19

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Solution

The fourth proportional to 56,878.20, 85,328.24 and 21,815.19 is: 32,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,878.20 : 85,328.24 = 21,815.19 : x
  2. Step 2: Convert to fraction form
    56,878.20/85,328.24 = 21,815.19/x
  3. Step 3: Cross multiply
    56,878.20x = 85,328.24 × 21,815.19
  4. Step 4: Simplify right side
    56,878.20x = 1,861,451,658.89
  5. Step 5: Solve for x
    x = 1,861,451,658.89/56,878.20
  6. Step 6: Final answer
    x = 32,726.98

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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.