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Finding the Fourth Proportional to 55,018.48, 82,555 and 21,762.40

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Solution

The fourth proportional to 55,018.48, 82,555 and 21,762.40 is: 32,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,018.48 : 82,555 = 21,762.40 : x
  2. Step 2: Convert to fraction form
    55,018.48/82,555 = 21,762.40/x
  3. Step 3: Cross multiply
    55,018.48x = 82,555 × 21,762.40
  4. Step 4: Simplify right side
    55,018.48x = 1,796,594,932.00
  5. Step 5: Solve for x
    x = 1,796,594,932.00/55,018.48
  6. Step 6: Final answer
    x = 32,654.39

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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.