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Finding the Fourth Proportional to 197,515, 296,272.50 and 49,771

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Solution

The fourth proportional to 197,515, 296,272.50 and 49,771 is: 74,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,515 : 296,272.50 = 49,771 : x
  2. Step 2: Convert to fraction form
    197,515/296,272.50 = 49,771/x
  3. Step 3: Cross multiply
    197,515x = 296,272.50 × 49,771
  4. Step 4: Simplify right side
    197,515x = 14,745,778,597.50
  5. Step 5: Solve for x
    x = 14,745,778,597.50/197,515
  6. Step 6: Final answer
    x = 74,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.