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Finding the Fourth Proportional to 190,783.70, 285,945.15 and 97,241.30

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Solution

The fourth proportional to 190,783.70, 285,945.15 and 97,241.30 is: 145,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,783.70 : 285,945.15 = 97,241.30 : x
  2. Step 2: Convert to fraction form
    190,783.70/285,945.15 = 97,241.30/x
  3. Step 3: Cross multiply
    190,783.70x = 285,945.15 × 97,241.30
  4. Step 4: Simplify right side
    190,783.70x = 27,805,678,114.70
  5. Step 5: Solve for x
    x = 27,805,678,114.70/190,783.70
  6. Step 6: Final answer
    x = 145,744.52

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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.