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Finding the Fourth Proportional to 189,978.90, 285,025.41 and 56,863.50

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Solution

The fourth proportional to 189,978.90, 285,025.41 and 56,863.50 is: 85,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,978.90 : 285,025.41 = 56,863.50 : x
  2. Step 2: Convert to fraction form
    189,978.90/285,025.41 = 56,863.50/x
  3. Step 3: Cross multiply
    189,978.90x = 285,025.41 × 56,863.50
  4. Step 4: Simplify right side
    189,978.90x = 16,207,542,401.54
  5. Step 5: Solve for x
    x = 16,207,542,401.54/189,978.90
  6. Step 6: Final answer
    x = 85,312.33

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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.