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Finding the Fourth Proportional to 210,413.70, 315,621.77 and 70,171.92

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Solution

The fourth proportional to 210,413.70, 315,621.77 and 70,171.92 is: 105,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.70 : 315,621.77 = 70,171.92 : x
  2. Step 2: Convert to fraction form
    210,413.70/315,621.77 = 70,171.92/x
  3. Step 3: Cross multiply
    210,413.70x = 315,621.77 × 70,171.92
  4. Step 4: Simplify right side
    210,413.70x = 22,147,785,243.84
  5. Step 5: Solve for x
    x = 22,147,785,243.84/210,413.70
  6. Step 6: Final answer
    x = 105,258.29

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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.