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Finding the Fourth Proportional to 133,143.75, 199,750.25 and 39,649.50

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Solution

The fourth proportional to 133,143.75, 199,750.25 and 39,649.50 is: 59,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,143.75 : 199,750.25 = 39,649.50 : x
  2. Step 2: Convert to fraction form
    133,143.75/199,750.25 = 39,649.50/x
  3. Step 3: Cross multiply
    133,143.75x = 199,750.25 × 39,649.50
  4. Step 4: Simplify right side
    133,143.75x = 7,919,997,636.50
  5. Step 5: Solve for x
    x = 7,919,997,636.50/133,143.75
  6. Step 6: Final answer
    x = 59,484.56

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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.