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Finding the Fourth Proportional to 81,034.90, 121,661.70 and 64,413.70

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Solution

The fourth proportional to 81,034.90, 121,661.70 and 64,413.70 is: 96,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,034.90 : 121,661.70 = 64,413.70 : x
  2. Step 2: Convert to fraction form
    81,034.90/121,661.70 = 64,413.70/x
  3. Step 3: Cross multiply
    81,034.90x = 121,661.70 × 64,413.70
  4. Step 4: Simplify right side
    81,034.90x = 7,836,680,245.29
  5. Step 5: Solve for x
    x = 7,836,680,245.29/81,034.90
  6. Step 6: Final answer
    x = 96,707.47

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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.