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Finding the Fourth Proportional to 52,212.78, 72,020.84 and 30,977

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Solution

The fourth proportional to 52,212.78, 72,020.84 and 30,977 is: 42,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,212.78 : 72,020.84 = 30,977 : x
  2. Step 2: Convert to fraction form
    52,212.78/72,020.84 = 30,977/x
  3. Step 3: Cross multiply
    52,212.78x = 72,020.84 × 30,977
  4. Step 4: Simplify right side
    52,212.78x = 2,230,989,560.68
  5. Step 5: Solve for x
    x = 2,230,989,560.68/52,212.78
  6. Step 6: Final answer
    x = 42,728.80

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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.