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Finding the Fourth Proportional to 199,955.22, 299,872.27 and 105,134.32

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Solution

The fourth proportional to 199,955.22, 299,872.27 and 105,134.32 is: 157,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,955.22 : 299,872.27 = 105,134.32 : x
  2. Step 2: Convert to fraction form
    199,955.22/299,872.27 = 105,134.32/x
  3. Step 3: Cross multiply
    199,955.22x = 299,872.27 × 105,134.32
  4. Step 4: Simplify right side
    199,955.22x = 31,526,867,193.31
  5. Step 5: Solve for x
    x = 31,526,867,193.31/199,955.22
  6. Step 6: Final answer
    x = 157,669.64

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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.