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Finding the Fourth Proportional to 190,587, 285,880.50 and 130,556.28

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Solution

The fourth proportional to 190,587, 285,880.50 and 130,556.28 is: 195,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,587 : 285,880.50 = 130,556.28 : x
  2. Step 2: Convert to fraction form
    190,587/285,880.50 = 130,556.28/x
  3. Step 3: Cross multiply
    190,587x = 285,880.50 × 130,556.28
  4. Step 4: Simplify right side
    190,587x = 37,323,494,604.54
  5. Step 5: Solve for x
    x = 37,323,494,604.54/190,587
  6. Step 6: Final answer
    x = 195,834.42

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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.