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Finding the Fourth Proportional to 197,237, 272,187.06 and 107,813

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Solution

The fourth proportional to 197,237, 272,187.06 and 107,813 is: 148,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,237 : 272,187.06 = 107,813 : x
  2. Step 2: Convert to fraction form
    197,237/272,187.06 = 107,813/x
  3. Step 3: Cross multiply
    197,237x = 272,187.06 × 107,813
  4. Step 4: Simplify right side
    197,237x = 29,345,303,499.78
  5. Step 5: Solve for x
    x = 29,345,303,499.78/197,237
  6. Step 6: Final answer
    x = 148,781.94

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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.