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Finding the Fourth Proportional to 105,661.86, 145,800.40 and 66,884.54

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Solution

The fourth proportional to 105,661.86, 145,800.40 and 66,884.54 is: 92,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,661.86 : 145,800.40 = 66,884.54 : x
  2. Step 2: Convert to fraction form
    105,661.86/145,800.40 = 66,884.54/x
  3. Step 3: Cross multiply
    105,661.86x = 145,800.40 × 66,884.54
  4. Step 4: Simplify right side
    105,661.86x = 9,751,792,685.82
  5. Step 5: Solve for x
    x = 9,751,792,685.82/105,661.86
  6. Step 6: Final answer
    x = 92,292.46

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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.