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Finding the Fourth Proportional to 206,118.96, 309,128.68 and 86,111.07

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Solution

The fourth proportional to 206,118.96, 309,128.68 and 86,111.07 is: 129,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118.96 : 309,128.68 = 86,111.07 : x
  2. Step 2: Convert to fraction form
    206,118.96/309,128.68 = 86,111.07/x
  3. Step 3: Cross multiply
    206,118.96x = 309,128.68 × 86,111.07
  4. Step 4: Simplify right side
    206,118.96x = 26,619,401,402.49
  5. Step 5: Solve for x
    x = 26,619,401,402.49/206,118.96
  6. Step 6: Final answer
    x = 129,145.82

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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.