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Finding the Fourth Proportional to 106,388.40, 159,712.20 and 105,610.80

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Solution

The fourth proportional to 106,388.40, 159,712.20 and 105,610.80 is: 158,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.40 : 159,712.20 = 105,610.80 : x
  2. Step 2: Convert to fraction form
    106,388.40/159,712.20 = 105,610.80/x
  3. Step 3: Cross multiply
    106,388.40x = 159,712.20 × 105,610.80
  4. Step 4: Simplify right side
    106,388.40x = 16,867,333,211.76
  5. Step 5: Solve for x
    x = 16,867,333,211.76/106,388.40
  6. Step 6: Final answer
    x = 158,544.85

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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.