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Finding the Fourth Proportional to 199,700.16, 299,467.44 and 81,291.12

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Solution

The fourth proportional to 199,700.16, 299,467.44 and 81,291.12 is: 121,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,700.16 : 299,467.44 = 81,291.12 : x
  2. Step 2: Convert to fraction form
    199,700.16/299,467.44 = 81,291.12/x
  3. Step 3: Cross multiply
    199,700.16x = 299,467.44 × 81,291.12
  4. Step 4: Simplify right side
    199,700.16x = 24,344,043,601.13
  5. Step 5: Solve for x
    x = 24,344,043,601.13/199,700.16
  6. Step 6: Final answer
    x = 121,902.97

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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.