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Finding the Fourth Proportional to 190,634.76, 285,766.16 and 90,768.12

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Solution

The fourth proportional to 190,634.76, 285,766.16 and 90,768.12 is: 136,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,634.76 : 285,766.16 = 90,768.12 : x
  2. Step 2: Convert to fraction form
    190,634.76/285,766.16 = 90,768.12/x
  3. Step 3: Cross multiply
    190,634.76x = 285,766.16 × 90,768.12
  4. Step 4: Simplify right side
    190,634.76x = 25,938,457,102.82
  5. Step 5: Solve for x
    x = 25,938,457,102.82/190,634.76
  6. Step 6: Final answer
    x = 136,063.63

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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.