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Finding the Fourth Proportional to 190,970.94, 285,915.12 and 158,690.82

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Solution

The fourth proportional to 190,970.94, 285,915.12 and 158,690.82 is: 237,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,970.94 : 285,915.12 = 158,690.82 : x
  2. Step 2: Convert to fraction form
    190,970.94/285,915.12 = 158,690.82/x
  3. Step 3: Cross multiply
    190,970.94x = 285,915.12 × 158,690.82
  4. Step 4: Simplify right side
    190,970.94x = 45,372,104,843.20
  5. Step 5: Solve for x
    x = 45,372,104,843.20/190,970.94
  6. Step 6: Final answer
    x = 237,586.44

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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.