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Finding the Fourth Proportional to 206,536, 285,022.80 and 120,492.64

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Solution

The fourth proportional to 206,536, 285,022.80 and 120,492.64 is: 166,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,536 : 285,022.80 = 120,492.64 : x
  2. Step 2: Convert to fraction form
    206,536/285,022.80 = 120,492.64/x
  3. Step 3: Cross multiply
    206,536x = 285,022.80 × 120,492.64
  4. Step 4: Simplify right side
    206,536x = 34,343,149,632.19
  5. Step 5: Solve for x
    x = 34,343,149,632.19/206,536
  6. Step 6: Final answer
    x = 166,281.66

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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.