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Finding the Fourth Proportional to 190,584, 285,876 and 130,553.28

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Solution

The fourth proportional to 190,584, 285,876 and 130,553.28 is: 195,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584 : 285,876 = 130,553.28 : x
  2. Step 2: Convert to fraction form
    190,584/285,876 = 130,553.28/x
  3. Step 3: Cross multiply
    190,584x = 285,876 × 130,553.28
  4. Step 4: Simplify right side
    190,584x = 37,322,049,473.28
  5. Step 5: Solve for x
    x = 37,322,049,473.28/190,584
  6. Step 6: Final answer
    x = 195,829.92

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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.