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Finding the Fourth Proportional to 190,672.95, 285,961.44 and 78,384.48

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Solution

The fourth proportional to 190,672.95, 285,961.44 and 78,384.48 is: 117,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,672.95 : 285,961.44 = 78,384.48 : x
  2. Step 2: Convert to fraction form
    190,672.95/285,961.44 = 78,384.48/x
  3. Step 3: Cross multiply
    190,672.95x = 285,961.44 × 78,384.48
  4. Step 4: Simplify right side
    190,672.95x = 22,414,938,774.45
  5. Step 5: Solve for x
    x = 22,414,938,774.45/190,672.95
  6. Step 6: Final answer
    x = 117,556.99

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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.