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Finding the Fourth Proportional to 223,494.42, 308,413.79 and 121,519.96

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Solution

The fourth proportional to 223,494.42, 308,413.79 and 121,519.96 is: 167,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,494.42 : 308,413.79 = 121,519.96 : x
  2. Step 2: Convert to fraction form
    223,494.42/308,413.79 = 121,519.96/x
  3. Step 3: Cross multiply
    223,494.42x = 308,413.79 × 121,519.96
  4. Step 4: Simplify right side
    223,494.42x = 37,478,429,274.58
  5. Step 5: Solve for x
    x = 37,478,429,274.58/223,494.42
  6. Step 6: Final answer
    x = 167,692.91

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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.