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Finding the Fourth Proportional to 131,114.40, 196,556.40 and 78,544.80

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Solution

The fourth proportional to 131,114.40, 196,556.40 and 78,544.80 is: 117,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114.40 : 196,556.40 = 78,544.80 : x
  2. Step 2: Convert to fraction form
    131,114.40/196,556.40 = 78,544.80/x
  3. Step 3: Cross multiply
    131,114.40x = 196,556.40 × 78,544.80
  4. Step 4: Simplify right side
    131,114.40x = 15,438,483,126.72
  5. Step 5: Solve for x
    x = 15,438,483,126.72/131,114.40
  6. Step 6: Final answer
    x = 117,748.19

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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.