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Finding the Fourth Proportional to 133,155.82, 199,731.70 and 39,661.57

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Solution

The fourth proportional to 133,155.82, 199,731.70 and 39,661.57 is: 59,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,155.82 : 199,731.70 = 39,661.57 : x
  2. Step 2: Convert to fraction form
    133,155.82/199,731.70 = 39,661.57/x
  3. Step 3: Cross multiply
    133,155.82x = 199,731.70 × 39,661.57
  4. Step 4: Simplify right side
    133,155.82x = 7,921,672,800.77
  5. Step 5: Solve for x
    x = 7,921,672,800.77/133,155.82
  6. Step 6: Final answer
    x = 59,491.75

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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.