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Finding the Fourth Proportional to 206,330.96, 284,860.92 and 134,830.64

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Solution

The fourth proportional to 206,330.96, 284,860.92 and 134,830.64 is: 186,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,330.96 : 284,860.92 = 134,830.64 : x
  2. Step 2: Convert to fraction form
    206,330.96/284,860.92 = 134,830.64/x
  3. Step 3: Cross multiply
    206,330.96x = 284,860.92 × 134,830.64
  4. Step 4: Simplify right side
    206,330.96x = 38,407,980,154.59
  5. Step 5: Solve for x
    x = 38,407,980,154.59/206,330.96
  6. Step 6: Final answer
    x = 186,147.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.