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Finding the Fourth Proportional to 189,257.72, 283,842.84 and 56,105.87

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Solution

The fourth proportional to 189,257.72, 283,842.84 and 56,105.87 is: 84,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,257.72 : 283,842.84 = 56,105.87 : x
  2. Step 2: Convert to fraction form
    189,257.72/283,842.84 = 56,105.87/x
  3. Step 3: Cross multiply
    189,257.72x = 283,842.84 × 56,105.87
  4. Step 4: Simplify right side
    189,257.72x = 15,925,249,481.47
  5. Step 5: Solve for x
    x = 15,925,249,481.47/189,257.72
  6. Step 6: Final answer
    x = 84,145.84

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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.