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Finding the Fourth Proportional to 190,642.50, 285,963.75 and 50,401.13

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Solution

The fourth proportional to 190,642.50, 285,963.75 and 50,401.13 is: 75,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642.50 : 285,963.75 = 50,401.13 : x
  2. Step 2: Convert to fraction form
    190,642.50/285,963.75 = 50,401.13/x
  3. Step 3: Cross multiply
    190,642.50x = 285,963.75 × 50,401.13
  4. Step 4: Simplify right side
    190,642.50x = 14,412,894,709.22
  5. Step 5: Solve for x
    x = 14,412,894,709.22/190,642.50
  6. Step 6: Final answer
    x = 75,601.69

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1.5x scale

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.