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Finding the Fourth Proportional to 242,619.96, 363,995.88 and 137,512.80

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Solution

The fourth proportional to 242,619.96, 363,995.88 and 137,512.80 is: 206,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,619.96 : 363,995.88 = 137,512.80 : x
  2. Step 2: Convert to fraction form
    242,619.96/363,995.88 = 137,512.80/x
  3. Step 3: Cross multiply
    242,619.96x = 363,995.88 × 137,512.80
  4. Step 4: Simplify right side
    242,619.96x = 50,054,092,647.26
  5. Step 5: Solve for x
    x = 50,054,092,647.26/242,619.96
  6. Step 6: Final answer
    x = 206,306.57

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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.