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Finding the Fourth Proportional to 137,609.94, 206,413.04 and 37,770

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Solution

The fourth proportional to 137,609.94, 206,413.04 and 37,770 is: 56,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609.94 : 206,413.04 = 37,770 : x
  2. Step 2: Convert to fraction form
    137,609.94/206,413.04 = 37,770/x
  3. Step 3: Cross multiply
    137,609.94x = 206,413.04 × 37,770
  4. Step 4: Simplify right side
    137,609.94x = 7,796,220,520.80
  5. Step 5: Solve for x
    x = 7,796,220,520.80/137,609.94
  6. Step 6: Final answer
    x = 56,654.49

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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.