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Finding the Fourth Proportional to 202,761.72, 279,698.94 and 117,869.40

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Solution

The fourth proportional to 202,761.72, 279,698.94 and 117,869.40 is: 162,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,761.72 : 279,698.94 = 117,869.40 : x
  2. Step 2: Convert to fraction form
    202,761.72/279,698.94 = 117,869.40/x
  3. Step 3: Cross multiply
    202,761.72x = 279,698.94 × 117,869.40
  4. Step 4: Simplify right side
    202,761.72x = 32,967,946,238.44
  5. Step 5: Solve for x
    x = 32,967,946,238.44/202,761.72
  6. Step 6: Final answer
    x = 162,594.53

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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.