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Finding the Fourth Proportional to 209,963.01, 289,753.31 and 118,084.06

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Solution

The fourth proportional to 209,963.01, 289,753.31 and 118,084.06 is: 162,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.01 : 289,753.31 = 118,084.06 : x
  2. Step 2: Convert to fraction form
    209,963.01/289,753.31 = 118,084.06/x
  3. Step 3: Cross multiply
    209,963.01x = 289,753.31 × 118,084.06
  4. Step 4: Simplify right side
    209,963.01x = 34,215,247,243.24
  5. Step 5: Solve for x
    x = 34,215,247,243.24/209,963.01
  6. Step 6: Final answer
    x = 162,958.45

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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.