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Finding the Fourth Proportional to 63,075, 94,612.50 and 21,522

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Solution

The fourth proportional to 63,075, 94,612.50 and 21,522 is: 32,283

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,075 : 94,612.50 = 21,522 : x
  2. Step 2: Convert to fraction form
    63,075/94,612.50 = 21,522/x
  3. Step 3: Cross multiply
    63,075x = 94,612.50 × 21,522
  4. Step 4: Simplify right side
    63,075x = 2,036,250,225
  5. Step 5: Solve for x
    x = 2,036,250,225/63,075
  6. Step 6: Final answer
    x = 32,283

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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.