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Finding the Fourth Proportional to 189,609.75, 284,461.43 and 56,489.49

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Solution

The fourth proportional to 189,609.75, 284,461.43 and 56,489.49 is: 84,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,609.75 : 284,461.43 = 56,489.49 : x
  2. Step 2: Convert to fraction form
    189,609.75/284,461.43 = 56,489.49/x
  3. Step 3: Cross multiply
    189,609.75x = 284,461.43 × 56,489.49
  4. Step 4: Simplify right side
    189,609.75x = 16,069,080,822.92
  5. Step 5: Solve for x
    x = 16,069,080,822.92/189,609.75
  6. Step 6: Final answer
    x = 84,748.18

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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.