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Finding the Fourth Proportional to 190,076.92, 285,484.43 and 139,959.11

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Solution

The fourth proportional to 190,076.92, 285,484.43 and 139,959.11 is: 210,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,076.92 : 285,484.43 = 139,959.11 : x
  2. Step 2: Convert to fraction form
    190,076.92/285,484.43 = 139,959.11/x
  3. Step 3: Cross multiply
    190,076.92x = 285,484.43 × 139,959.11
  4. Step 4: Simplify right side
    190,076.92x = 39,956,147,805.27
  5. Step 5: Solve for x
    x = 39,956,147,805.27/190,076.92
  6. Step 6: Final answer
    x = 210,210.42

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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.