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Finding the Fourth Proportional to 206,408.16, 309,750.32 and 75,080.16

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Solution

The fourth proportional to 206,408.16, 309,750.32 and 75,080.16 is: 112,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.16 : 309,750.32 = 75,080.16 : x
  2. Step 2: Convert to fraction form
    206,408.16/309,750.32 = 75,080.16/x
  3. Step 3: Cross multiply
    206,408.16x = 309,750.32 × 75,080.16
  4. Step 4: Simplify right side
    206,408.16x = 23,256,103,585.65
  5. Step 5: Solve for x
    x = 23,256,103,585.65/206,408.16
  6. Step 6: Final answer
    x = 112,670.47

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1.5x scale

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.