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Finding the Fourth Proportional to 197,394.50, 272,410.98 and 107,970.50

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Solution

The fourth proportional to 197,394.50, 272,410.98 and 107,970.50 is: 149,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,394.50 : 272,410.98 = 107,970.50 : x
  2. Step 2: Convert to fraction form
    197,394.50/272,410.98 = 107,970.50/x
  3. Step 3: Cross multiply
    197,394.50x = 272,410.98 × 107,970.50
  4. Step 4: Simplify right side
    197,394.50x = 29,412,349,716.09
  5. Step 5: Solve for x
    x = 29,412,349,716.09/197,394.50
  6. Step 6: Final answer
    x = 149,002.88

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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.