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Finding the Fourth Proportional to 202,111.80, 302,649.30 and 192,780.60

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Solution

The fourth proportional to 202,111.80, 302,649.30 and 192,780.60 is: 288,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.80 : 302,649.30 = 192,780.60 : x
  2. Step 2: Convert to fraction form
    202,111.80/302,649.30 = 192,780.60/x
  3. Step 3: Cross multiply
    202,111.80x = 302,649.30 × 192,780.60
  4. Step 4: Simplify right side
    202,111.80x = 58,344,913,643.58
  5. Step 5: Solve for x
    x = 58,344,913,643.58/202,111.80
  6. Step 6: Final answer
    x = 288,676.43

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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.