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Finding the Fourth Proportional to 56,498.75, 84,748.10 and 21,438.41

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Solution

The fourth proportional to 56,498.75, 84,748.10 and 21,438.41 is: 32,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.75 : 84,748.10 = 21,438.41 : x
  2. Step 2: Convert to fraction form
    56,498.75/84,748.10 = 21,438.41/x
  3. Step 3: Cross multiply
    56,498.75x = 84,748.10 × 21,438.41
  4. Step 4: Simplify right side
    56,498.75x = 1,816,864,514.52
  5. Step 5: Solve for x
    x = 1,816,864,514.52/56,498.75
  6. Step 6: Final answer
    x = 32,157.61

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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.