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Finding the Fourth Proportional to 197,117, 272,021.46 and 107,693

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Solution

The fourth proportional to 197,117, 272,021.46 and 107,693 is: 148,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,117 : 272,021.46 = 107,693 : x
  2. Step 2: Convert to fraction form
    197,117/272,021.46 = 107,693/x
  3. Step 3: Cross multiply
    197,117x = 272,021.46 × 107,693
  4. Step 4: Simplify right side
    197,117x = 29,294,807,091.78
  5. Step 5: Solve for x
    x = 29,294,807,091.78/197,117
  6. Step 6: Final answer
    x = 148,616.34

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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.