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Finding the Fourth Proportional to 206,909.56, 285,535.50 and 117,485.56

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Solution

The fourth proportional to 206,909.56, 285,535.50 and 117,485.56 is: 162,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,909.56 : 285,535.50 = 117,485.56 : x
  2. Step 2: Convert to fraction form
    206,909.56/285,535.50 = 117,485.56/x
  3. Step 3: Cross multiply
    206,909.56x = 285,535.50 × 117,485.56
  4. Step 4: Simplify right side
    206,909.56x = 33,546,298,117.38
  5. Step 5: Solve for x
    x = 33,546,298,117.38/206,909.56
  6. Step 6: Final answer
    x = 162,130.25

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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.