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Finding the Fourth Proportional to 138,995.15, 208,413.71 and 54,709.61

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Solution

The fourth proportional to 138,995.15, 208,413.71 and 54,709.61 is: 82,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,995.15 : 208,413.71 = 54,709.61 : x
  2. Step 2: Convert to fraction form
    138,995.15/208,413.71 = 54,709.61/x
  3. Step 3: Cross multiply
    138,995.15x = 208,413.71 × 54,709.61
  4. Step 4: Simplify right side
    138,995.15x = 11,402,231,477.14
  5. Step 5: Solve for x
    x = 11,402,231,477.14/138,995.15
  6. Step 6: Final answer
    x = 82,033.31

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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.