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Finding the Fourth Proportional to 100,784, 151,182.24 and 30,668.48

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Solution

The fourth proportional to 100,784, 151,182.24 and 30,668.48 is: 46,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784 : 151,182.24 = 30,668.48 : x
  2. Step 2: Convert to fraction form
    100,784/151,182.24 = 30,668.48/x
  3. Step 3: Cross multiply
    100,784x = 151,182.24 × 30,668.48
  4. Step 4: Simplify right side
    100,784x = 4,636,529,503.80
  5. Step 5: Solve for x
    x = 4,636,529,503.80/100,784
  6. Step 6: Final answer
    x = 46,004.62

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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.