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Finding the Fourth Proportional to 345,844.69, 518,843.68 and 105,991.74

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Solution

The fourth proportional to 345,844.69, 518,843.68 and 105,991.74 is: 159,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,844.69 : 518,843.68 = 105,991.74 : x
  2. Step 2: Convert to fraction form
    345,844.69/518,843.68 = 105,991.74/x
  3. Step 3: Cross multiply
    345,844.69x = 518,843.68 × 105,991.74
  4. Step 4: Simplify right side
    345,844.69x = 54,993,144,166.22
  5. Step 5: Solve for x
    x = 54,993,144,166.22/345,844.69
  6. Step 6: Final answer
    x = 159,011.10

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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.