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Finding the Fourth Proportional to 206,486.55, 285,007.16 and 134,865.05

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Solution

The fourth proportional to 206,486.55, 285,007.16 and 134,865.05 is: 186,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,486.55 : 285,007.16 = 134,865.05 : x
  2. Step 2: Convert to fraction form
    206,486.55/285,007.16 = 134,865.05/x
  3. Step 3: Cross multiply
    206,486.55x = 285,007.16 × 134,865.05
  4. Step 4: Simplify right side
    206,486.55x = 38,437,503,795.88
  5. Step 5: Solve for x
    x = 38,437,503,795.88/206,486.55
  6. Step 6: Final answer
    x = 186,150.16

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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.