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Finding the Fourth Proportional to 206,618.79, 285,112.02 and 115,984.74

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Solution

The fourth proportional to 206,618.79, 285,112.02 and 115,984.74 is: 160,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.79 : 285,112.02 = 115,984.74 : x
  2. Step 2: Convert to fraction form
    206,618.79/285,112.02 = 115,984.74/x
  3. Step 3: Cross multiply
    206,618.79x = 285,112.02 × 115,984.74
  4. Step 4: Simplify right side
    206,618.79x = 33,068,643,510.57
  5. Step 5: Solve for x
    x = 33,068,643,510.57/206,618.79
  6. Step 6: Final answer
    x = 160,046.64

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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.