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Finding the Fourth Proportional to 189,208.49, 283,813.86 and 56,089.87

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Solution

The fourth proportional to 189,208.49, 283,813.86 and 56,089.87 is: 84,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,208.49 : 283,813.86 = 56,089.87 : x
  2. Step 2: Convert to fraction form
    189,208.49/283,813.86 = 56,089.87/x
  3. Step 3: Cross multiply
    189,208.49x = 283,813.86 × 56,089.87
  4. Step 4: Simplify right side
    189,208.49x = 15,919,082,231.15
  5. Step 5: Solve for x
    x = 15,919,082,231.15/189,208.49
  6. Step 6: Final answer
    x = 84,135.14

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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.