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Finding the Fourth Proportional to 190,542.88, 285,925.02 and 85,361.85

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Solution

The fourth proportional to 190,542.88, 285,925.02 and 85,361.85 is: 128,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,542.88 : 285,925.02 = 85,361.85 : x
  2. Step 2: Convert to fraction form
    190,542.88/285,925.02 = 85,361.85/x
  3. Step 3: Cross multiply
    190,542.88x = 285,925.02 × 85,361.85
  4. Step 4: Simplify right side
    190,542.88x = 24,407,088,668.49
  5. Step 5: Solve for x
    x = 24,407,088,668.49/190,542.88
  6. Step 6: Final answer
    x = 128,092.37

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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.