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Finding the Fourth Proportional to 206,168.21, 309,260.49 and 98,071.61

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Solution

The fourth proportional to 206,168.21, 309,260.49 and 98,071.61 is: 147,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168.21 : 309,260.49 = 98,071.61 : x
  2. Step 2: Convert to fraction form
    206,168.21/309,260.49 = 98,071.61/x
  3. Step 3: Cross multiply
    206,168.21x = 309,260.49 × 98,071.61
  4. Step 4: Simplify right side
    206,168.21x = 30,329,674,569.07
  5. Step 5: Solve for x
    x = 30,329,674,569.07/206,168.21
  6. Step 6: Final answer
    x = 147,111.31

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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.