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Finding the Fourth Proportional to 55,015, 82,522.50 and 30,391

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Solution

The fourth proportional to 55,015, 82,522.50 and 30,391 is: 45,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,015 : 82,522.50 = 30,391 : x
  2. Step 2: Convert to fraction form
    55,015/82,522.50 = 30,391/x
  3. Step 3: Cross multiply
    55,015x = 82,522.50 × 30,391
  4. Step 4: Simplify right side
    55,015x = 2,507,941,297.50
  5. Step 5: Solve for x
    x = 2,507,941,297.50/55,015
  6. Step 6: Final answer
    x = 45,586.50

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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.