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Finding the Fourth Proportional to 190,311, 285,455.52 and 57,188.40

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Solution

The fourth proportional to 190,311, 285,455.52 and 57,188.40 is: 85,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,311 : 285,455.52 = 57,188.40 : x
  2. Step 2: Convert to fraction form
    190,311/285,455.52 = 57,188.40/x
  3. Step 3: Cross multiply
    190,311x = 285,455.52 × 57,188.40
  4. Step 4: Simplify right side
    190,311x = 16,324,744,459.97
  5. Step 5: Solve for x
    x = 16,324,744,459.97/190,311
  6. Step 6: Final answer
    x = 85,779.30

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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.