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Finding the Fourth Proportional to 197,089.50, 271,984.59 and 107,665.50

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Solution

The fourth proportional to 197,089.50, 271,984.59 and 107,665.50 is: 148,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,089.50 : 271,984.59 = 107,665.50 : x
  2. Step 2: Convert to fraction form
    197,089.50/271,984.59 = 107,665.50/x
  3. Step 3: Cross multiply
    197,089.50x = 271,984.59 × 107,665.50
  4. Step 4: Simplify right side
    197,089.50x = 29,283,356,874.65
  5. Step 5: Solve for x
    x = 29,283,356,874.65/197,089.50
  6. Step 6: Final answer
    x = 148,578.98

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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.