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Finding the Fourth Proportional to 54,762.71, 82,108.71 and 21,486.11

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Solution

The fourth proportional to 54,762.71, 82,108.71 and 21,486.11 is: 32,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.71 : 82,108.71 = 21,486.11 : x
  2. Step 2: Convert to fraction form
    54,762.71/82,108.71 = 21,486.11/x
  3. Step 3: Cross multiply
    54,762.71x = 82,108.71 × 21,486.11
  4. Step 4: Simplify right side
    54,762.71x = 1,764,196,364.47
  5. Step 5: Solve for x
    x = 1,764,196,364.47/54,762.71
  6. Step 6: Final answer
    x = 32,215.29

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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.