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Finding the Fourth Proportional to 225,795.53, 311,697.32 and 158,078.32

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Solution

The fourth proportional to 225,795.53, 311,697.32 and 158,078.32 is: 218,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,795.53 : 311,697.32 = 158,078.32 : x
  2. Step 2: Convert to fraction form
    225,795.53/311,697.32 = 158,078.32/x
  3. Step 3: Cross multiply
    225,795.53x = 311,697.32 × 158,078.32
  4. Step 4: Simplify right side
    225,795.53x = 49,272,587,124.47
  5. Step 5: Solve for x
    x = 49,272,587,124.47/225,795.53
  6. Step 6: Final answer
    x = 218,217.72

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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.