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Finding the Fourth Proportional to 202,209.30, 303,313.95 and 127,413.90

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Solution

The fourth proportional to 202,209.30, 303,313.95 and 127,413.90 is: 191,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.30 : 303,313.95 = 127,413.90 : x
  2. Step 2: Convert to fraction form
    202,209.30/303,313.95 = 127,413.90/x
  3. Step 3: Cross multiply
    202,209.30x = 303,313.95 × 127,413.90
  4. Step 4: Simplify right side
    202,209.30x = 38,646,413,293.91
  5. Step 5: Solve for x
    x = 38,646,413,293.91/202,209.30
  6. Step 6: Final answer
    x = 191,120.85

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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.