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Finding the Fourth Proportional to 206,321.86, 309,570.30 and 112,718.26

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Solution

The fourth proportional to 206,321.86, 309,570.30 and 112,718.26 is: 169,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.86 : 309,570.30 = 112,718.26 : x
  2. Step 2: Convert to fraction form
    206,321.86/309,570.30 = 112,718.26/x
  3. Step 3: Cross multiply
    206,321.86x = 309,570.30 × 112,718.26
  4. Step 4: Simplify right side
    206,321.86x = 34,894,225,563.68
  5. Step 5: Solve for x
    x = 34,894,225,563.68/206,321.86
  6. Step 6: Final answer
    x = 169,125.20

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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.