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Finding the Fourth Proportional to 199,615.60, 299,273.64 and 120,713.68

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Solution

The fourth proportional to 199,615.60, 299,273.64 and 120,713.68 is: 180,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.60 : 299,273.64 = 120,713.68 : x
  2. Step 2: Convert to fraction form
    199,615.60/299,273.64 = 120,713.68/x
  3. Step 3: Cross multiply
    199,615.60x = 299,273.64 × 120,713.68
  4. Step 4: Simplify right side
    199,615.60x = 36,126,422,411.40
  5. Step 5: Solve for x
    x = 36,126,422,411.40/199,615.60
  6. Step 6: Final answer
    x = 180,979.96

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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.