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Finding the Fourth Proportional to 54,970.74, 82,400.79 and 21,714.39

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Solution

The fourth proportional to 54,970.74, 82,400.79 and 21,714.39 is: 32,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.74 : 82,400.79 = 21,714.39 : x
  2. Step 2: Convert to fraction form
    54,970.74/82,400.79 = 21,714.39/x
  3. Step 3: Cross multiply
    54,970.74x = 82,400.79 × 21,714.39
  4. Step 4: Simplify right side
    54,970.74x = 1,789,282,890.37
  5. Step 5: Solve for x
    x = 1,789,282,890.37/54,970.74
  6. Step 6: Final answer
    x = 32,549.73

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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.