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Finding the Fourth Proportional to 99,797.76, 137,715.84 and 55,077.12

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Solution

The fourth proportional to 99,797.76, 137,715.84 and 55,077.12 is: 76,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,797.76 : 137,715.84 = 55,077.12 : x
  2. Step 2: Convert to fraction form
    99,797.76/137,715.84 = 55,077.12/x
  3. Step 3: Cross multiply
    99,797.76x = 137,715.84 × 55,077.12
  4. Step 4: Simplify right side
    99,797.76x = 7,584,991,845.58
  5. Step 5: Solve for x
    x = 7,584,991,845.58/99,797.76
  6. Step 6: Final answer
    x = 76,003.63

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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.