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Finding the Fourth Proportional to 137,223.63, 189,345.78 and 80,645.94

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Solution

The fourth proportional to 137,223.63, 189,345.78 and 80,645.94 is: 111,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,223.63 : 189,345.78 = 80,645.94 : x
  2. Step 2: Convert to fraction form
    137,223.63/189,345.78 = 80,645.94/x
  3. Step 3: Cross multiply
    137,223.63x = 189,345.78 × 80,645.94
  4. Step 4: Simplify right side
    137,223.63x = 15,269,968,413.13
  5. Step 5: Solve for x
    x = 15,269,968,413.13/137,223.63
  6. Step 6: Final answer
    x = 111,277.98

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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.