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Finding the Fourth Proportional to 56,668.75, 78,205.50 and 32,790.80

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Solution

The fourth proportional to 56,668.75, 78,205.50 and 32,790.80 is: 45,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,668.75 : 78,205.50 = 32,790.80 : x
  2. Step 2: Convert to fraction form
    56,668.75/78,205.50 = 32,790.80/x
  3. Step 3: Cross multiply
    56,668.75x = 78,205.50 × 32,790.80
  4. Step 4: Simplify right side
    56,668.75x = 2,564,421,104.91
  5. Step 5: Solve for x
    x = 2,564,421,104.91/56,668.75
  6. Step 6: Final answer
    x = 45,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.