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Finding the Fourth Proportional to 199,684.66, 299,443.80 and 81,275.62

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Solution

The fourth proportional to 199,684.66, 299,443.80 and 81,275.62 is: 121,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684.66 : 299,443.80 = 81,275.62 : x
  2. Step 2: Convert to fraction form
    199,684.66/299,443.80 = 81,275.62/x
  3. Step 3: Cross multiply
    199,684.66x = 299,443.80 × 81,275.62
  4. Step 4: Simplify right side
    199,684.66x = 24,337,480,500.16
  5. Step 5: Solve for x
    x = 24,337,480,500.16/199,684.66
  6. Step 6: Final answer
    x = 121,879.57

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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.