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Finding the Fourth Proportional to 197,273, 272,236.74 and 107,849

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Solution

The fourth proportional to 197,273, 272,236.74 and 107,849 is: 148,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,273 : 272,236.74 = 107,849 : x
  2. Step 2: Convert to fraction form
    197,273/272,236.74 = 107,849/x
  3. Step 3: Cross multiply
    197,273x = 272,236.74 × 107,849
  4. Step 4: Simplify right side
    197,273x = 29,360,460,172.26
  5. Step 5: Solve for x
    x = 29,360,460,172.26/197,273
  6. Step 6: Final answer
    x = 148,831.62

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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.