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Finding the Fourth Proportional to 106,360.64, 159,568.64 and 39,806

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Solution

The fourth proportional to 106,360.64, 159,568.64 and 39,806 is: 59,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360.64 : 159,568.64 = 39,806 : x
  2. Step 2: Convert to fraction form
    106,360.64/159,568.64 = 39,806/x
  3. Step 3: Cross multiply
    106,360.64x = 159,568.64 × 39,806
  4. Step 4: Simplify right side
    106,360.64x = 6,351,789,084.81
  5. Step 5: Solve for x
    x = 6,351,789,084.81/106,360.64
  6. Step 6: Final answer
    x = 59,719.36

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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.