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Finding the Fourth Proportional to 189,879, 284,750.40 and 56,734.44

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Solution

The fourth proportional to 189,879, 284,750.40 and 56,734.44 is: 85,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,879 : 284,750.40 = 56,734.44 : x
  2. Step 2: Convert to fraction form
    189,879/284,750.40 = 56,734.44/x
  3. Step 3: Cross multiply
    189,879x = 284,750.40 × 56,734.44
  4. Step 4: Simplify right side
    189,879x = 16,155,154,483.78
  5. Step 5: Solve for x
    x = 16,155,154,483.78/189,879
  6. Step 6: Final answer
    x = 85,081.31

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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.