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Finding the Fourth Proportional to 144,469.23, 216,704.14 and 77,940.69

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Solution

The fourth proportional to 144,469.23, 216,704.14 and 77,940.69 is: 116,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469.23 : 216,704.14 = 77,940.69 : x
  2. Step 2: Convert to fraction form
    144,469.23/216,704.14 = 77,940.69/x
  3. Step 3: Cross multiply
    144,469.23x = 216,704.14 × 77,940.69
  4. Step 4: Simplify right side
    144,469.23x = 16,890,070,197.46
  5. Step 5: Solve for x
    x = 16,890,070,197.46/144,469.23
  6. Step 6: Final answer
    x = 116,911.19

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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.