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Finding the Fourth Proportional to 72,668.16, 109,044.24 and 30,544.88

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Solution

The fourth proportional to 72,668.16, 109,044.24 and 30,544.88 is: 45,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668.16 : 109,044.24 = 30,544.88 : x
  2. Step 2: Convert to fraction form
    72,668.16/109,044.24 = 30,544.88/x
  3. Step 3: Cross multiply
    72,668.16x = 109,044.24 × 30,544.88
  4. Step 4: Simplify right side
    72,668.16x = 3,330,743,225.49
  5. Step 5: Solve for x
    x = 3,330,743,225.49/72,668.16
  6. Step 6: Final answer
    x = 45,834.97

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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.