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Finding the Fourth Proportional to 197,727, 272,864.22 and 108,303

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Solution

The fourth proportional to 197,727, 272,864.22 and 108,303 is: 149,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,727 : 272,864.22 = 108,303 : x
  2. Step 2: Convert to fraction form
    197,727/272,864.22 = 108,303/x
  3. Step 3: Cross multiply
    197,727x = 272,864.22 × 108,303
  4. Step 4: Simplify right side
    197,727x = 29,552,013,618.66
  5. Step 5: Solve for x
    x = 29,552,013,618.66/197,727
  6. Step 6: Final answer
    x = 149,458.67

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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.