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Finding the Fourth Proportional to 190,643.26, 285,964.90 and 50,401.90

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Solution

The fourth proportional to 190,643.26, 285,964.90 and 50,401.90 is: 75,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,643.26 : 285,964.90 = 50,401.90 : x
  2. Step 2: Convert to fraction form
    190,643.26/285,964.90 = 50,401.90/x
  3. Step 3: Cross multiply
    190,643.26x = 285,964.90 × 50,401.90
  4. Step 4: Simplify right side
    190,643.26x = 14,413,174,293.31
  5. Step 5: Solve for x
    x = 14,413,174,293.31/190,643.26
  6. Step 6: Final answer
    x = 75,602.85

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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.