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Finding the Fourth Proportional to 117,005.76, 161,300 and 83,413.44

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Solution

The fourth proportional to 117,005.76, 161,300 and 83,413.44 is: 114,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005.76 : 161,300 = 83,413.44 : x
  2. Step 2: Convert to fraction form
    117,005.76/161,300 = 83,413.44/x
  3. Step 3: Cross multiply
    117,005.76x = 161,300 × 83,413.44
  4. Step 4: Simplify right side
    117,005.76x = 13,454,587,872
  5. Step 5: Solve for x
    x = 13,454,587,872/117,005.76
  6. Step 6: Final answer
    x = 114,990.82

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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.