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Finding the Fourth Proportional to 199,958.23, 299,876.76 and 105,137.32

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Solution

The fourth proportional to 199,958.23, 299,876.76 and 105,137.32 is: 157,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,958.23 : 299,876.76 = 105,137.32 : x
  2. Step 2: Convert to fraction form
    199,958.23/299,876.76 = 105,137.32/x
  3. Step 3: Cross multiply
    199,958.23x = 299,876.76 × 105,137.32
  4. Step 4: Simplify right side
    199,958.23x = 31,528,238,876.68
  5. Step 5: Solve for x
    x = 31,528,238,876.68/199,958.23
  6. Step 6: Final answer
    x = 157,674.12

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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.