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Finding the Fourth Proportional to 137,175.78, 205,783.39 and 42,413.35

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Solution

The fourth proportional to 137,175.78, 205,783.39 and 42,413.35 is: 63,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175.78 : 205,783.39 = 42,413.35 : x
  2. Step 2: Convert to fraction form
    137,175.78/205,783.39 = 42,413.35/x
  3. Step 3: Cross multiply
    137,175.78x = 205,783.39 × 42,413.35
  4. Step 4: Simplify right side
    137,175.78x = 8,727,962,944.26
  5. Step 5: Solve for x
    x = 8,727,962,944.26/137,175.78
  6. Step 6: Final answer
    x = 63,626.12

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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.