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Finding the Fourth Proportional to 232,993.78, 349,623.41 and 90,820.55

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Solution

The fourth proportional to 232,993.78, 349,623.41 and 90,820.55 is: 136,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.78 : 349,623.41 = 90,820.55 : x
  2. Step 2: Convert to fraction form
    232,993.78/349,623.41 = 90,820.55/x
  3. Step 3: Cross multiply
    232,993.78x = 349,623.41 × 90,820.55
  4. Step 4: Simplify right side
    232,993.78x = 31,752,990,809.03
  5. Step 5: Solve for x
    x = 31,752,990,809.03/232,993.78
  6. Step 6: Final answer
    x = 136,282.57

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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.