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Finding the Fourth Proportional to 190,287, 285,419.52 and 57,164.40

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Solution

The fourth proportional to 190,287, 285,419.52 and 57,164.40 is: 85,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,287 : 285,419.52 = 57,164.40 : x
  2. Step 2: Convert to fraction form
    190,287/285,419.52 = 57,164.40/x
  3. Step 3: Cross multiply
    190,287x = 285,419.52 × 57,164.40
  4. Step 4: Simplify right side
    190,287x = 16,315,835,609.09
  5. Step 5: Solve for x
    x = 16,315,835,609.09/190,287
  6. Step 6: Final answer
    x = 85,743.30

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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.