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Finding the Fourth Proportional to 206,642.32, 309,963.50 and 66,499.36

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Solution

The fourth proportional to 206,642.32, 309,963.50 and 66,499.36 is: 99,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.32 : 309,963.50 = 66,499.36 : x
  2. Step 2: Convert to fraction form
    206,642.32/309,963.50 = 66,499.36/x
  3. Step 3: Cross multiply
    206,642.32x = 309,963.50 × 66,499.36
  4. Step 4: Simplify right side
    206,642.32x = 20,612,374,373.36
  5. Step 5: Solve for x
    x = 20,612,374,373.36/206,642.32
  6. Step 6: Final answer
    x = 99,749.05

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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.