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Finding the Fourth Proportional to 190,367.51, 285,543.79 and 78,020.69

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Solution

The fourth proportional to 190,367.51, 285,543.79 and 78,020.69 is: 117,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,367.51 : 285,543.79 = 78,020.69 : x
  2. Step 2: Convert to fraction form
    190,367.51/285,543.79 = 78,020.69/x
  3. Step 3: Cross multiply
    190,367.51x = 285,543.79 × 78,020.69
  4. Step 4: Simplify right side
    190,367.51x = 22,278,321,898.24
  5. Step 5: Solve for x
    x = 22,278,321,898.24/190,367.51
  6. Step 6: Final answer
    x = 117,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.