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Finding the Fourth Proportional to 202,655.73, 279,519.84 and 142,239.87

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Solution

The fourth proportional to 202,655.73, 279,519.84 and 142,239.87 is: 196,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,655.73 : 279,519.84 = 142,239.87 : x
  2. Step 2: Convert to fraction form
    202,655.73/279,519.84 = 142,239.87/x
  3. Step 3: Cross multiply
    202,655.73x = 279,519.84 × 142,239.87
  4. Step 4: Simplify right side
    202,655.73x = 39,758,865,704.02
  5. Step 5: Solve for x
    x = 39,758,865,704.02/202,655.73
  6. Step 6: Final answer
    x = 196,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.