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Finding the Fourth Proportional to 199,611.50, 299,420.49 and 57,458.66

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Solution

The fourth proportional to 199,611.50, 299,420.49 and 57,458.66 is: 86,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611.50 : 299,420.49 = 57,458.66 : x
  2. Step 2: Convert to fraction form
    199,611.50/299,420.49 = 57,458.66/x
  3. Step 3: Cross multiply
    199,611.50x = 299,420.49 × 57,458.66
  4. Step 4: Simplify right side
    199,611.50x = 17,204,300,131.94
  5. Step 5: Solve for x
    x = 17,204,300,131.94/199,611.50
  6. Step 6: Final answer
    x = 86,188.92

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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.