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Finding the Fourth Proportional to 197,234, 272,182.92 and 107,810

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Solution

The fourth proportional to 197,234, 272,182.92 and 107,810 is: 148,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,234 : 272,182.92 = 107,810 : x
  2. Step 2: Convert to fraction form
    197,234/272,182.92 = 107,810/x
  3. Step 3: Cross multiply
    197,234x = 272,182.92 × 107,810
  4. Step 4: Simplify right side
    197,234x = 29,344,040,605.20
  5. Step 5: Solve for x
    x = 29,344,040,605.20/197,234
  6. Step 6: Final answer
    x = 148,777.80

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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.