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Finding the Fourth Proportional to 206,763.72, 310,142.04 and 117,827.52

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Solution

The fourth proportional to 206,763.72, 310,142.04 and 117,827.52 is: 176,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763.72 : 310,142.04 = 117,827.52 : x
  2. Step 2: Convert to fraction form
    206,763.72/310,142.04 = 117,827.52/x
  3. Step 3: Cross multiply
    206,763.72x = 310,142.04 × 117,827.52
  4. Step 4: Simplify right side
    206,763.72x = 36,543,267,420.94
  5. Step 5: Solve for x
    x = 36,543,267,420.94/206,763.72
  6. Step 6: Final answer
    x = 176,739.26

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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.