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Finding the Fourth Proportional to 202,038.20, 303,143.70 and 127,215.80

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Solution

The fourth proportional to 202,038.20, 303,143.70 and 127,215.80 is: 190,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.20 : 303,143.70 = 127,215.80 : x
  2. Step 2: Convert to fraction form
    202,038.20/303,143.70 = 127,215.80/x
  3. Step 3: Cross multiply
    202,038.20x = 303,143.70 × 127,215.80
  4. Step 4: Simplify right side
    202,038.20x = 38,564,668,310.46
  5. Step 5: Solve for x
    x = 38,564,668,310.46/202,038.20
  6. Step 6: Final answer
    x = 190,878.10

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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.