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Finding the Fourth Proportional to 190,626.86, 285,942.36 and 57,508.28

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Solution

The fourth proportional to 190,626.86, 285,942.36 and 57,508.28 is: 86,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,626.86 : 285,942.36 = 57,508.28 : x
  2. Step 2: Convert to fraction form
    190,626.86/285,942.36 = 57,508.28/x
  3. Step 3: Cross multiply
    190,626.86x = 285,942.36 × 57,508.28
  4. Step 4: Simplify right side
    190,626.86x = 16,444,053,302.74
  5. Step 5: Solve for x
    x = 16,444,053,302.74/190,626.86
  6. Step 6: Final answer
    x = 86,263.04

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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.