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Finding the Fourth Proportional to 199,392.78, 299,145.66 and 81,148.98

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Solution

The fourth proportional to 199,392.78, 299,145.66 and 81,148.98 is: 121,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,392.78 : 299,145.66 = 81,148.98 : x
  2. Step 2: Convert to fraction form
    199,392.78/299,145.66 = 81,148.98/x
  3. Step 3: Cross multiply
    199,392.78x = 299,145.66 × 81,148.98
  4. Step 4: Simplify right side
    199,392.78x = 24,275,365,180.43
  5. Step 5: Solve for x
    x = 24,275,365,180.43/199,392.78
  6. Step 6: Final answer
    x = 121,746.46

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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.