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Finding the Fourth Proportional to 199,615.64, 299,427.59 and 71,540.24

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Solution

The fourth proportional to 199,615.64, 299,427.59 and 71,540.24 is: 107,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.64 : 299,427.59 = 71,540.24 : x
  2. Step 2: Convert to fraction form
    199,615.64/299,427.59 = 71,540.24/x
  3. Step 3: Cross multiply
    199,615.64x = 299,427.59 × 71,540.24
  4. Step 4: Simplify right side
    199,615.64x = 21,421,120,332.93
  5. Step 5: Solve for x
    x = 21,421,120,332.93/199,615.64
  6. Step 6: Final answer
    x = 107,311.84

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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.