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Finding the Fourth Proportional to 133,057.40, 199,731.90 and 83,193.80

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Solution

The fourth proportional to 133,057.40, 199,731.90 and 83,193.80 is: 124,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057.40 : 199,731.90 = 83,193.80 : x
  2. Step 2: Convert to fraction form
    133,057.40/199,731.90 = 83,193.80/x
  3. Step 3: Cross multiply
    133,057.40x = 199,731.90 × 83,193.80
  4. Step 4: Simplify right side
    133,057.40x = 16,616,455,742.22
  5. Step 5: Solve for x
    x = 16,616,455,742.22/133,057.40
  6. Step 6: Final answer
    x = 124,881.86

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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.