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Finding the Fourth Proportional to 199,959.24, 299,878.26 and 105,138.32

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Solution

The fourth proportional to 199,959.24, 299,878.26 and 105,138.32 is: 157,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,959.24 : 299,878.26 = 105,138.32 : x
  2. Step 2: Convert to fraction form
    199,959.24/299,878.26 = 105,138.32/x
  3. Step 3: Cross multiply
    199,959.24x = 299,878.26 × 105,138.32
  4. Step 4: Simplify right side
    199,959.24x = 31,528,696,460.92
  5. Step 5: Solve for x
    x = 31,528,696,460.92/199,959.24
  6. Step 6: Final answer
    x = 157,675.62

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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.