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Finding the Fourth Proportional to 197,108, 271,689.60 and 154,012.16

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Solution

The fourth proportional to 197,108, 271,689.60 and 154,012.16 is: 212,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,108 : 271,689.60 = 154,012.16 : x
  2. Step 2: Convert to fraction form
    197,108/271,689.60 = 154,012.16/x
  3. Step 3: Cross multiply
    197,108x = 271,689.60 × 154,012.16
  4. Step 4: Simplify right side
    197,108x = 41,843,502,145.54
  5. Step 5: Solve for x
    x = 41,843,502,145.54/197,108
  6. Step 6: Final answer
    x = 212,287.18

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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.