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Finding the Fourth Proportional to 202,701.20, 304,138.20 and 127,878.80

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Solution

The fourth proportional to 202,701.20, 304,138.20 and 127,878.80 is: 191,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,701.20 : 304,138.20 = 127,878.80 : x
  2. Step 2: Convert to fraction form
    202,701.20/304,138.20 = 127,878.80/x
  3. Step 3: Cross multiply
    202,701.20x = 304,138.20 × 127,878.80
  4. Step 4: Simplify right side
    202,701.20x = 38,892,828,050.16
  5. Step 5: Solve for x
    x = 38,892,828,050.16/202,701.20
  6. Step 6: Final answer
    x = 191,872.71

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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.