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Finding the Fourth Proportional to 129,111.40, 193,763.10 and 66,749.80

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Solution

The fourth proportional to 129,111.40, 193,763.10 and 66,749.80 is: 100,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,111.40 : 193,763.10 = 66,749.80 : x
  2. Step 2: Convert to fraction form
    129,111.40/193,763.10 = 66,749.80/x
  3. Step 3: Cross multiply
    129,111.40x = 193,763.10 × 66,749.80
  4. Step 4: Simplify right side
    129,111.40x = 12,933,648,172.38
  5. Step 5: Solve for x
    x = 12,933,648,172.38/129,111.40
  6. Step 6: Final answer
    x = 100,174.33

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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.