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Finding the Fourth Proportional to 202,137.98, 278,739.36 and 140,955.30

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Solution

The fourth proportional to 202,137.98, 278,739.36 and 140,955.30 is: 194,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.98 : 278,739.36 = 140,955.30 : x
  2. Step 2: Convert to fraction form
    202,137.98/278,739.36 = 140,955.30/x
  3. Step 3: Cross multiply
    202,137.98x = 278,739.36 × 140,955.30
  4. Step 4: Simplify right side
    202,137.98x = 39,289,790,110.61
  5. Step 5: Solve for x
    x = 39,289,790,110.61/202,137.98
  6. Step 6: Final answer
    x = 194,371.15

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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.