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Finding the Fourth Proportional to 99,405.80, 137,187.78 and 56,974.76

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Solution

The fourth proportional to 99,405.80, 137,187.78 and 56,974.76 is: 78,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,405.80 : 137,187.78 = 56,974.76 : x
  2. Step 2: Convert to fraction form
    99,405.80/137,187.78 = 56,974.76/x
  3. Step 3: Cross multiply
    99,405.80x = 137,187.78 × 56,974.76
  4. Step 4: Simplify right side
    99,405.80x = 7,816,240,840.43
  5. Step 5: Solve for x
    x = 7,816,240,840.43/99,405.80
  6. Step 6: Final answer
    x = 78,629.63

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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.