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Finding the Fourth Proportional to 159,361.72, 219,928.26 and 87,757

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Solution

The fourth proportional to 159,361.72, 219,928.26 and 87,757 is: 121,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,361.72 : 219,928.26 = 87,757 : x
  2. Step 2: Convert to fraction form
    159,361.72/219,928.26 = 87,757/x
  3. Step 3: Cross multiply
    159,361.72x = 219,928.26 × 87,757
  4. Step 4: Simplify right side
    159,361.72x = 19,300,244,312.82
  5. Step 5: Solve for x
    x = 19,300,244,312.82/159,361.72
  6. Step 6: Final answer
    x = 121,109.66

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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.