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Finding the Fourth Proportional to 144,830.17, 199,828.11 and 87,424.12

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Solution

The fourth proportional to 144,830.17, 199,828.11 and 87,424.12 is: 120,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830.17 : 199,828.11 = 87,424.12 : x
  2. Step 2: Convert to fraction form
    144,830.17/199,828.11 = 87,424.12/x
  3. Step 3: Cross multiply
    144,830.17x = 199,828.11 × 87,424.12
  4. Step 4: Simplify right side
    144,830.17x = 17,469,796,668.01
  5. Step 5: Solve for x
    x = 17,469,796,668.01/144,830.17
  6. Step 6: Final answer
    x = 120,622.63

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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.