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Finding the Fourth Proportional to 199,563, 299,185.55 and 115,227.53

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Solution

The fourth proportional to 199,563, 299,185.55 and 115,227.53 is: 172,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563 : 299,185.55 = 115,227.53 : x
  2. Step 2: Convert to fraction form
    199,563/299,185.55 = 115,227.53/x
  3. Step 3: Cross multiply
    199,563x = 299,185.55 × 115,227.53
  4. Step 4: Simplify right side
    199,563x = 34,474,409,866.13
  5. Step 5: Solve for x
    x = 34,474,409,866.13/199,563
  6. Step 6: Final answer
    x = 172,749.51

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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.