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Finding the Fourth Proportional to 54,978.84, 82,468.26 and 31,590.36

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Solution

The fourth proportional to 54,978.84, 82,468.26 and 31,590.36 is: 47,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.84 : 82,468.26 = 31,590.36 : x
  2. Step 2: Convert to fraction form
    54,978.84/82,468.26 = 31,590.36/x
  3. Step 3: Cross multiply
    54,978.84x = 82,468.26 × 31,590.36
  4. Step 4: Simplify right side
    54,978.84x = 2,605,202,021.97
  5. Step 5: Solve for x
    x = 2,605,202,021.97/54,978.84
  6. Step 6: Final answer
    x = 47,385.54

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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.