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Finding the Fourth Proportional to 206,798.63, 285,381.78 and 116,157.20

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Solution

The fourth proportional to 206,798.63, 285,381.78 and 116,157.20 is: 160,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,798.63 : 285,381.78 = 116,157.20 : x
  2. Step 2: Convert to fraction form
    206,798.63/285,381.78 = 116,157.20/x
  3. Step 3: Cross multiply
    206,798.63x = 285,381.78 × 116,157.20
  4. Step 4: Simplify right side
    206,798.63x = 33,149,148,495.82
  5. Step 5: Solve for x
    x = 33,149,148,495.82/206,798.63
  6. Step 6: Final answer
    x = 160,296.75

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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.