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Finding the Fourth Proportional to 197,393.50, 272,409.60 and 107,969.50

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Solution

The fourth proportional to 197,393.50, 272,409.60 and 107,969.50 is: 149,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,393.50 : 272,409.60 = 107,969.50 : x
  2. Step 2: Convert to fraction form
    197,393.50/272,409.60 = 107,969.50/x
  3. Step 3: Cross multiply
    197,393.50x = 272,409.60 × 107,969.50
  4. Step 4: Simplify right side
    197,393.50x = 29,411,928,307.20
  5. Step 5: Solve for x
    x = 29,411,928,307.20/197,393.50
  6. Step 6: Final answer
    x = 149,001.50

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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.