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Finding the Fourth Proportional to 99,771.99, 137,679.81 and 56,745.66

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Solution

The fourth proportional to 99,771.99, 137,679.81 and 56,745.66 is: 78,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.99 : 137,679.81 = 56,745.66 : x
  2. Step 2: Convert to fraction form
    99,771.99/137,679.81 = 56,745.66/x
  3. Step 3: Cross multiply
    99,771.99x = 137,679.81 × 56,745.66
  4. Step 4: Simplify right side
    99,771.99x = 7,812,731,687.12
  5. Step 5: Solve for x
    x = 7,812,731,687.12/99,771.99
  6. Step 6: Final answer
    x = 78,305.86

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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.