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Finding the Fourth Proportional to 189,315.63, 283,989.90 and 54,380.46

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Solution

The fourth proportional to 189,315.63, 283,989.90 and 54,380.46 is: 81,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,315.63 : 283,989.90 = 54,380.46 : x
  2. Step 2: Convert to fraction form
    189,315.63/283,989.90 = 54,380.46/x
  3. Step 3: Cross multiply
    189,315.63x = 283,989.90 × 54,380.46
  4. Step 4: Simplify right side
    189,315.63x = 15,443,501,397.35
  5. Step 5: Solve for x
    x = 15,443,501,397.35/189,315.63
  6. Step 6: Final answer
    x = 81,575.42

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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.