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Finding the Fourth Proportional to 203,413.97, 280,727.85 and 112,798.35

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Solution

The fourth proportional to 203,413.97, 280,727.85 and 112,798.35 is: 155,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.97 : 280,727.85 = 112,798.35 : x
  2. Step 2: Convert to fraction form
    203,413.97/280,727.85 = 112,798.35/x
  3. Step 3: Cross multiply
    203,413.97x = 280,727.85 × 112,798.35
  4. Step 4: Simplify right side
    203,413.97x = 31,665,638,279.05
  5. Step 5: Solve for x
    x = 31,665,638,279.05/203,413.97
  6. Step 6: Final answer
    x = 155,670.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.