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Finding the Fourth Proportional to 190,903.70, 285,772.35 and 148,913.30

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Solution

The fourth proportional to 190,903.70, 285,772.35 and 148,913.30 is: 222,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,903.70 : 285,772.35 = 148,913.30 : x
  2. Step 2: Convert to fraction form
    190,903.70/285,772.35 = 148,913.30/x
  3. Step 3: Cross multiply
    190,903.70x = 285,772.35 × 148,913.30
  4. Step 4: Simplify right side
    190,903.70x = 42,555,303,687.26
  5. Step 5: Solve for x
    x = 42,555,303,687.26/190,903.70
  6. Step 6: Final answer
    x = 222,915.03

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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.