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Finding the Fourth Proportional to 197,458.76, 272,494.42 and 120,978

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Solution

The fourth proportional to 197,458.76, 272,494.42 and 120,978 is: 166,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,458.76 : 272,494.42 = 120,978 : x
  2. Step 2: Convert to fraction form
    197,458.76/272,494.42 = 120,978/x
  3. Step 3: Cross multiply
    197,458.76x = 272,494.42 × 120,978
  4. Step 4: Simplify right side
    197,458.76x = 32,965,829,640.32
  5. Step 5: Solve for x
    x = 32,965,829,640.32/197,458.76
  6. Step 6: Final answer
    x = 166,950.45

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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.