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Finding the Fourth Proportional to 200,670.66, 301,012.61 and 74,342.79

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Solution

The fourth proportional to 200,670.66, 301,012.61 and 74,342.79 is: 111,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,670.66 : 301,012.61 = 74,342.79 : x
  2. Step 2: Convert to fraction form
    200,670.66/301,012.61 = 74,342.79/x
  3. Step 3: Cross multiply
    200,670.66x = 301,012.61 × 74,342.79
  4. Step 4: Simplify right side
    200,670.66x = 22,378,116,880.87
  5. Step 5: Solve for x
    x = 22,378,116,880.87/200,670.66
  6. Step 6: Final answer
    x = 111,516.64

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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.