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Finding the Fourth Proportional to 54,401.64, 75,074.82 and 30,203

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Solution

The fourth proportional to 54,401.64, 75,074.82 and 30,203 is: 41,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,401.64 : 75,074.82 = 30,203 : x
  2. Step 2: Convert to fraction form
    54,401.64/75,074.82 = 30,203/x
  3. Step 3: Cross multiply
    54,401.64x = 75,074.82 × 30,203
  4. Step 4: Simplify right side
    54,401.64x = 2,267,484,788.46
  5. Step 5: Solve for x
    x = 2,267,484,788.46/54,401.64
  6. Step 6: Final answer
    x = 41,680.45

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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.