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Finding the Fourth Proportional to 197,697.72, 296,668.35 and 77,733.54

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Solution

The fourth proportional to 197,697.72, 296,668.35 and 77,733.54 is: 116,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,697.72 : 296,668.35 = 77,733.54 : x
  2. Step 2: Convert to fraction form
    197,697.72/296,668.35 = 77,733.54/x
  3. Step 3: Cross multiply
    197,697.72x = 296,668.35 × 77,733.54
  4. Step 4: Simplify right side
    197,697.72x = 23,061,081,051.46
  5. Step 5: Solve for x
    x = 23,061,081,051.46/197,697.72
  6. Step 6: Final answer
    x = 116,648.19

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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.