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Finding the Fourth Proportional to 199,395.78, 299,150.16 and 81,151.98

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Solution

The fourth proportional to 199,395.78, 299,150.16 and 81,151.98 is: 121,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,395.78 : 299,150.16 = 81,151.98 : x
  2. Step 2: Convert to fraction form
    199,395.78/299,150.16 = 81,151.98/x
  3. Step 3: Cross multiply
    199,395.78x = 299,150.16 × 81,151.98
  4. Step 4: Simplify right side
    199,395.78x = 24,276,627,801.32
  5. Step 5: Solve for x
    x = 24,276,627,801.32/199,395.78
  6. Step 6: Final answer
    x = 121,750.96

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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.