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Finding the Fourth Proportional to 206,810.72, 310,203.76 and 73,683.92

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Solution

The fourth proportional to 206,810.72, 310,203.76 and 73,683.92 is: 110,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.72 : 310,203.76 = 73,683.92 : x
  2. Step 2: Convert to fraction form
    206,810.72/310,203.76 = 73,683.92/x
  3. Step 3: Cross multiply
    206,810.72x = 310,203.76 × 73,683.92
  4. Step 4: Simplify right side
    206,810.72x = 22,857,029,035.54
  5. Step 5: Solve for x
    x = 22,857,029,035.54/206,810.72
  6. Step 6: Final answer
    x = 110,521.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.