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Finding the Fourth Proportional to 56,478.40, 84,725.40 and 19,049.20

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Solution

The fourth proportional to 56,478.40, 84,725.40 and 19,049.20 is: 28,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478.40 : 84,725.40 = 19,049.20 : x
  2. Step 2: Convert to fraction form
    56,478.40/84,725.40 = 19,049.20/x
  3. Step 3: Cross multiply
    56,478.40x = 84,725.40 × 19,049.20
  4. Step 4: Simplify right side
    56,478.40x = 1,613,951,089.68
  5. Step 5: Solve for x
    x = 1,613,951,089.68/56,478.40
  6. Step 6: Final answer
    x = 28,576.43

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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.