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Finding the Fourth Proportional to 137,413.53, 206,149.73 and 42,641.64

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Solution

The fourth proportional to 137,413.53, 206,149.73 and 42,641.64 is: 63,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.53 : 206,149.73 = 42,641.64 : x
  2. Step 2: Convert to fraction form
    137,413.53/206,149.73 = 42,641.64/x
  3. Step 3: Cross multiply
    137,413.53x = 206,149.73 × 42,641.64
  4. Step 4: Simplify right side
    137,413.53x = 8,790,562,359.55
  5. Step 5: Solve for x
    x = 8,790,562,359.55/137,413.53
  6. Step 6: Final answer
    x = 63,971.59

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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.