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Finding the Fourth Proportional to 189,147.78, 283,763.16 and 56,038.44

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Solution

The fourth proportional to 189,147.78, 283,763.16 and 56,038.44 is: 84,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,147.78 : 283,763.16 = 56,038.44 : x
  2. Step 2: Convert to fraction form
    189,147.78/283,763.16 = 56,038.44/x
  3. Step 3: Cross multiply
    189,147.78x = 283,763.16 × 56,038.44
  4. Step 4: Simplify right side
    189,147.78x = 15,901,644,815.87
  5. Step 5: Solve for x
    x = 15,901,644,815.87/189,147.78
  6. Step 6: Final answer
    x = 84,069.95

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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.