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Finding the Fourth Proportional to 194,709.83, 268,699.81 and 108,668.81

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Solution

The fourth proportional to 194,709.83, 268,699.81 and 108,668.81 is: 149,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.83 : 268,699.81 = 108,668.81 : x
  2. Step 2: Convert to fraction form
    194,709.83/268,699.81 = 108,668.81/x
  3. Step 3: Cross multiply
    194,709.83x = 268,699.81 × 108,668.81
  4. Step 4: Simplify right side
    194,709.83x = 29,199,289,407.51
  5. Step 5: Solve for x
    x = 29,199,289,407.51/194,709.83
  6. Step 6: Final answer
    x = 149,963.10

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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.