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Finding the Fourth Proportional to 203,413.73, 280,727.51 and 112,798.10

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Solution

The fourth proportional to 203,413.73, 280,727.51 and 112,798.10 is: 155,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.73 : 280,727.51 = 112,798.10 : x
  2. Step 2: Convert to fraction form
    203,413.73/280,727.51 = 112,798.10/x
  3. Step 3: Cross multiply
    203,413.73x = 280,727.51 × 112,798.10
  4. Step 4: Simplify right side
    203,413.73x = 31,665,527,778.10
  5. Step 5: Solve for x
    x = 31,665,527,778.10/203,413.73
  6. Step 6: Final answer
    x = 155,670.56

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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.