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Finding the Fourth Proportional to 78,399.84, 108,150.36 and 49,668.84

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Solution

The fourth proportional to 78,399.84, 108,150.36 and 49,668.84 is: 68,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,399.84 : 108,150.36 = 49,668.84 : x
  2. Step 2: Convert to fraction form
    78,399.84/108,150.36 = 49,668.84/x
  3. Step 3: Cross multiply
    78,399.84x = 108,150.36 × 49,668.84
  4. Step 4: Simplify right side
    78,399.84x = 5,371,702,926.78
  5. Step 5: Solve for x
    x = 5,371,702,926.78/78,399.84
  6. Step 6: Final answer
    x = 68,516.76

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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.