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Finding the Fourth Proportional to 52,885, 72,983.46 and 30,529

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Solution

The fourth proportional to 52,885, 72,983.46 and 30,529 is: 42,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,885 : 72,983.46 = 30,529 : x
  2. Step 2: Convert to fraction form
    52,885/72,983.46 = 30,529/x
  3. Step 3: Cross multiply
    52,885x = 72,983.46 × 30,529
  4. Step 4: Simplify right side
    52,885x = 2,228,112,050.34
  5. Step 5: Solve for x
    x = 2,228,112,050.34/52,885
  6. Step 6: Final answer
    x = 42,131.27

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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.