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Finding the Fourth Proportional to 150,293.78, 207,405.50 and 82,315.04

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Solution

The fourth proportional to 150,293.78, 207,405.50 and 82,315.04 is: 113,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,293.78 : 207,405.50 = 82,315.04 : x
  2. Step 2: Convert to fraction form
    150,293.78/207,405.50 = 82,315.04/x
  3. Step 3: Cross multiply
    150,293.78x = 207,405.50 × 82,315.04
  4. Step 4: Simplify right side
    150,293.78x = 17,072,590,580.12
  5. Step 5: Solve for x
    x = 17,072,590,580.12/150,293.78
  6. Step 6: Final answer
    x = 113,594.79

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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.