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Finding the Fourth Proportional to 197,272, 272,235.36 and 107,848

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Solution

The fourth proportional to 197,272, 272,235.36 and 107,848 is: 148,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,272 : 272,235.36 = 107,848 : x
  2. Step 2: Convert to fraction form
    197,272/272,235.36 = 107,848/x
  3. Step 3: Cross multiply
    197,272x = 272,235.36 × 107,848
  4. Step 4: Simplify right side
    197,272x = 29,360,039,105.28
  5. Step 5: Solve for x
    x = 29,360,039,105.28/197,272
  6. Step 6: Final answer
    x = 148,830.24

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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.