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Finding the Fourth Proportional to 154,852, 213,684.24 and 87,782.56

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Solution

The fourth proportional to 154,852, 213,684.24 and 87,782.56 is: 121,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,852 : 213,684.24 = 87,782.56 : x
  2. Step 2: Convert to fraction form
    154,852/213,684.24 = 87,782.56/x
  3. Step 3: Cross multiply
    154,852x = 213,684.24 × 87,782.56
  4. Step 4: Simplify right side
    154,852x = 18,757,749,618.85
  5. Step 5: Solve for x
    x = 18,757,749,618.85/154,852
  6. Step 6: Final answer
    x = 121,133.40

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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.