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Finding the Fourth Proportional to 192,448.64, 265,568.41 and 106,402.64

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Solution

The fourth proportional to 192,448.64, 265,568.41 and 106,402.64 is: 146,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,448.64 : 265,568.41 = 106,402.64 : x
  2. Step 2: Convert to fraction form
    192,448.64/265,568.41 = 106,402.64/x
  3. Step 3: Cross multiply
    192,448.64x = 265,568.41 × 106,402.64
  4. Step 4: Simplify right side
    192,448.64x = 28,257,180,322.52
  5. Step 5: Solve for x
    x = 28,257,180,322.52/192,448.64
  6. Step 6: Final answer
    x = 146,829.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.