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Finding the Fourth Proportional to 199,798.07, 299,697.10 and 81,478.64

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Solution

The fourth proportional to 199,798.07, 299,697.10 and 81,478.64 is: 122,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,798.07 : 299,697.10 = 81,478.64 : x
  2. Step 2: Convert to fraction form
    199,798.07/299,697.10 = 81,478.64/x
  3. Step 3: Cross multiply
    199,798.07x = 299,697.10 × 81,478.64
  4. Step 4: Simplify right side
    199,798.07x = 24,418,910,621.46
  5. Step 5: Solve for x
    x = 24,418,910,621.46/199,798.07
  6. Step 6: Final answer
    x = 122,217.95

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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.