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Finding the Fourth Proportional to 53,909.76, 80,776.32 and 51,861.76

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Solution

The fourth proportional to 53,909.76, 80,776.32 and 51,861.76 is: 77,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.76 : 80,776.32 = 51,861.76 : x
  2. Step 2: Convert to fraction form
    53,909.76/80,776.32 = 51,861.76/x
  3. Step 3: Cross multiply
    53,909.76x = 80,776.32 × 51,861.76
  4. Step 4: Simplify right side
    53,909.76x = 4,189,202,121.52
  5. Step 5: Solve for x
    x = 4,189,202,121.52/53,909.76
  6. Step 6: Final answer
    x = 77,707.68

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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.