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Finding the Fourth Proportional to 215,632.98, 323,438.40 and 82,503

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Solution

The fourth proportional to 215,632.98, 323,438.40 and 82,503 is: 123,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,632.98 : 323,438.40 = 82,503 : x
  2. Step 2: Convert to fraction form
    215,632.98/323,438.40 = 82,503/x
  3. Step 3: Cross multiply
    215,632.98x = 323,438.40 × 82,503
  4. Step 4: Simplify right side
    215,632.98x = 26,684,638,315.20
  5. Step 5: Solve for x
    x = 26,684,638,315.20/215,632.98
  6. Step 6: Final answer
    x = 123,750.26

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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.