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Finding the Fourth Proportional to 196,021.72, 294,129.74 and 77,690.44

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Solution

The fourth proportional to 196,021.72, 294,129.74 and 77,690.44 is: 116,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,021.72 : 294,129.74 = 77,690.44 : x
  2. Step 2: Convert to fraction form
    196,021.72/294,129.74 = 77,690.44/x
  3. Step 3: Cross multiply
    196,021.72x = 294,129.74 × 77,690.44
  4. Step 4: Simplify right side
    196,021.72x = 22,851,068,917.69
  5. Step 5: Solve for x
    x = 22,851,068,917.69/196,021.72
  6. Step 6: Final answer
    x = 116,574.17

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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.