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Finding the Fourth Proportional to 206,559, 285,007.50 and 121,645.08

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Solution

The fourth proportional to 206,559, 285,007.50 and 121,645.08 is: 167,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,559 : 285,007.50 = 121,645.08 : x
  2. Step 2: Convert to fraction form
    206,559/285,007.50 = 121,645.08/x
  3. Step 3: Cross multiply
    206,559x = 285,007.50 × 121,645.08
  4. Step 4: Simplify right side
    206,559x = 34,669,760,138.10
  5. Step 5: Solve for x
    x = 34,669,760,138.10/206,559
  6. Step 6: Final answer
    x = 167,844.35

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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.