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Finding the Fourth Proportional to 206,700, 285,228.54 and 125,058.67

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Solution

The fourth proportional to 206,700, 285,228.54 and 125,058.67 is: 172,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700 : 285,228.54 = 125,058.67 : x
  2. Step 2: Convert to fraction form
    206,700/285,228.54 = 125,058.67/x
  3. Step 3: Cross multiply
    206,700x = 285,228.54 × 125,058.67
  4. Step 4: Simplify right side
    206,700x = 35,670,301,858.44
  5. Step 5: Solve for x
    x = 35,670,301,858.44/206,700
  6. Step 6: Final answer
    x = 172,570.40

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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.