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Finding the Fourth Proportional to 206,522.79, 309,603.75 and 80,075.91

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Solution

The fourth proportional to 206,522.79, 309,603.75 and 80,075.91 is: 120,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522.79 : 309,603.75 = 80,075.91 : x
  2. Step 2: Convert to fraction form
    206,522.79/309,603.75 = 80,075.91/x
  3. Step 3: Cross multiply
    206,522.79x = 309,603.75 × 80,075.91
  4. Step 4: Simplify right side
    206,522.79x = 24,791,802,020.66
  5. Step 5: Solve for x
    x = 24,791,802,020.66/206,522.79
  6. Step 6: Final answer
    x = 120,043.90

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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.