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Finding the Fourth Proportional to 221,148.28, 305,192.46 and 125,659

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Solution

The fourth proportional to 221,148.28, 305,192.46 and 125,659 is: 173,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,148.28 : 305,192.46 = 125,659 : x
  2. Step 2: Convert to fraction form
    221,148.28/305,192.46 = 125,659/x
  3. Step 3: Cross multiply
    221,148.28x = 305,192.46 × 125,659
  4. Step 4: Simplify right side
    221,148.28x = 38,350,179,331.14
  5. Step 5: Solve for x
    x = 38,350,179,331.14/221,148.28
  6. Step 6: Final answer
    x = 173,413.87

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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.