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Finding the Fourth Proportional to 345,873, 518,825.42 and 105,969.72

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Solution

The fourth proportional to 345,873, 518,825.42 and 105,969.72 is: 158,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,873 : 518,825.42 = 105,969.72 : x
  2. Step 2: Convert to fraction form
    345,873/518,825.42 = 105,969.72/x
  3. Step 3: Cross multiply
    345,873x = 518,825.42 × 105,969.72
  4. Step 4: Simplify right side
    345,873x = 54,979,784,486.28
  5. Step 5: Solve for x
    x = 54,979,784,486.28/345,873
  6. Step 6: Final answer
    x = 158,959.46

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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.