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Finding the Fourth Proportional to 202,315.57, 303,083.86 and 126,443.75

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Solution

The fourth proportional to 202,315.57, 303,083.86 and 126,443.75 is: 189,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,315.57 : 303,083.86 = 126,443.75 : x
  2. Step 2: Convert to fraction form
    202,315.57/303,083.86 = 126,443.75/x
  3. Step 3: Cross multiply
    202,315.57x = 303,083.86 × 126,443.75
  4. Step 4: Simplify right side
    202,315.57x = 38,323,060,264.48
  5. Step 5: Solve for x
    x = 38,323,060,264.48/202,315.57
  6. Step 6: Final answer
    x = 189,422.20

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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.