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Finding the Fourth Proportional to 91,829.70, 137,774.31 and 45,049.77

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Solution

The fourth proportional to 91,829.70, 137,774.31 and 45,049.77 is: 67,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829.70 : 137,774.31 = 45,049.77 : x
  2. Step 2: Convert to fraction form
    91,829.70/137,774.31 = 45,049.77/x
  3. Step 3: Cross multiply
    91,829.70x = 137,774.31 × 45,049.77
  4. Step 4: Simplify right side
    91,829.70x = 6,206,700,977.41
  5. Step 5: Solve for x
    x = 6,206,700,977.41/91,829.70
  6. Step 6: Final answer
    x = 67,589.25

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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.