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Finding the Fourth Proportional to 106,896.72, 160,400.40 and 77,556.72

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Solution

The fourth proportional to 106,896.72, 160,400.40 and 77,556.72 is: 116,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.72 : 160,400.40 = 77,556.72 : x
  2. Step 2: Convert to fraction form
    106,896.72/160,400.40 = 77,556.72/x
  3. Step 3: Cross multiply
    106,896.72x = 160,400.40 × 77,556.72
  4. Step 4: Simplify right side
    106,896.72x = 12,440,128,108.69
  5. Step 5: Solve for x
    x = 12,440,128,108.69/106,896.72
  6. Step 6: Final answer
    x = 116,375.21

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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.