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Finding the Fourth Proportional to 197,178, 272,086.14 and 120,718.68

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Solution

The fourth proportional to 197,178, 272,086.14 and 120,718.68 is: 166,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,178 : 272,086.14 = 120,718.68 : x
  2. Step 2: Convert to fraction form
    197,178/272,086.14 = 120,718.68/x
  3. Step 3: Cross multiply
    197,178x = 272,086.14 × 120,718.68
  4. Step 4: Simplify right side
    197,178x = 32,845,879,667.10
  5. Step 5: Solve for x
    x = 32,845,879,667.10/197,178
  6. Step 6: Final answer
    x = 166,579.84

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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.