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Finding the Fourth Proportional to 206,792.25, 309,967.81 and 117,854.25

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Solution

The fourth proportional to 206,792.25, 309,967.81 and 117,854.25 is: 176,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792.25 : 309,967.81 = 117,854.25 : x
  2. Step 2: Convert to fraction form
    206,792.25/309,967.81 = 117,854.25/x
  3. Step 3: Cross multiply
    206,792.25x = 309,967.81 × 117,854.25
  4. Step 4: Simplify right side
    206,792.25x = 36,531,023,771.69
  5. Step 5: Solve for x
    x = 36,531,023,771.69/206,792.25
  6. Step 6: Final answer
    x = 176,655.67

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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.