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Finding the Fourth Proportional to 133,142.40, 199,747.44 and 39,648.96

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Solution

The fourth proportional to 133,142.40, 199,747.44 and 39,648.96 is: 59,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,142.40 : 199,747.44 = 39,648.96 : x
  2. Step 2: Convert to fraction form
    133,142.40/199,747.44 = 39,648.96/x
  3. Step 3: Cross multiply
    133,142.40x = 199,747.44 × 39,648.96
  4. Step 4: Simplify right side
    133,142.40x = 7,919,778,258.66
  5. Step 5: Solve for x
    x = 7,919,778,258.66/133,142.40
  6. Step 6: Final answer
    x = 59,483.52

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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.