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Finding the Fourth Proportional to 106,808.64, 160,135.20 and 51,339.84

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Solution

The fourth proportional to 106,808.64, 160,135.20 and 51,339.84 is: 76,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.64 : 160,135.20 = 51,339.84 : x
  2. Step 2: Convert to fraction form
    106,808.64/160,135.20 = 51,339.84/x
  3. Step 3: Cross multiply
    106,808.64x = 160,135.20 × 51,339.84
  4. Step 4: Simplify right side
    106,808.64x = 8,221,315,546.37
  5. Step 5: Solve for x
    x = 8,221,315,546.37/106,808.64
  6. Step 6: Final answer
    x = 76,972.38

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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.