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Finding the Fourth Proportional to 199,920.88, 299,733.16 and 121,016.44

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Solution

The fourth proportional to 199,920.88, 299,733.16 and 121,016.44 is: 181,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,920.88 : 299,733.16 = 121,016.44 : x
  2. Step 2: Convert to fraction form
    199,920.88/299,733.16 = 121,016.44/x
  3. Step 3: Cross multiply
    199,920.88x = 299,733.16 × 121,016.44
  4. Step 4: Simplify right side
    199,920.88x = 36,272,639,973.15
  5. Step 5: Solve for x
    x = 36,272,639,973.15/199,920.88
  6. Step 6: Final answer
    x = 181,434.98

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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.