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Finding the Fourth Proportional to 77,803.98, 107,240.41 and 55,113.85

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Solution

The fourth proportional to 77,803.98, 107,240.41 and 55,113.85 is: 75,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,803.98 : 107,240.41 = 55,113.85 : x
  2. Step 2: Convert to fraction form
    77,803.98/107,240.41 = 55,113.85/x
  3. Step 3: Cross multiply
    77,803.98x = 107,240.41 × 55,113.85
  4. Step 4: Simplify right side
    77,803.98x = 5,910,432,073.62
  5. Step 5: Solve for x
    x = 5,910,432,073.62/77,803.98
  6. Step 6: Final answer
    x = 75,965.68

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1.5x scale

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.