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Finding the Fourth Proportional to 190,445.86, 285,724.68 and 85,241.44

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Solution

The fourth proportional to 190,445.86, 285,724.68 and 85,241.44 is: 127,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,445.86 : 285,724.68 = 85,241.44 : x
  2. Step 2: Convert to fraction form
    190,445.86/285,724.68 = 85,241.44/x
  3. Step 3: Cross multiply
    190,445.86x = 285,724.68 × 85,241.44
  4. Step 4: Simplify right side
    190,445.86x = 24,355,583,166.74
  5. Step 5: Solve for x
    x = 24,355,583,166.74/190,445.86
  6. Step 6: Final answer
    x = 127,887.18

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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.