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Finding the Fourth Proportional to 206,130.96, 309,215.88 and 65,856.24

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Solution

The fourth proportional to 206,130.96, 309,215.88 and 65,856.24 is: 98,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,130.96 : 309,215.88 = 65,856.24 : x
  2. Step 2: Convert to fraction form
    206,130.96/309,215.88 = 65,856.24/x
  3. Step 3: Cross multiply
    206,130.96x = 309,215.88 × 65,856.24
  4. Step 4: Simplify right side
    206,130.96x = 20,363,795,205.09
  5. Step 5: Solve for x
    x = 20,363,795,205.09/206,130.96
  6. Step 6: Final answer
    x = 98,790.57

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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.