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Finding the Fourth Proportional to 158,782.51, 219,119 and 87,163.75

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Solution

The fourth proportional to 158,782.51, 219,119 and 87,163.75 is: 120,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782.51 : 219,119 = 87,163.75 : x
  2. Step 2: Convert to fraction form
    158,782.51/219,119 = 87,163.75/x
  3. Step 3: Cross multiply
    158,782.51x = 219,119 × 87,163.75
  4. Step 4: Simplify right side
    158,782.51x = 19,099,233,736.25
  5. Step 5: Solve for x
    x = 19,099,233,736.25/158,782.51
  6. Step 6: Final answer
    x = 120,285.50

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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.