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Finding the Fourth Proportional to 54,978.50, 75,870.60 and 29,828

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Solution

The fourth proportional to 54,978.50, 75,870.60 and 29,828 is: 41,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.50 : 75,870.60 = 29,828 : x
  2. Step 2: Convert to fraction form
    54,978.50/75,870.60 = 29,828/x
  3. Step 3: Cross multiply
    54,978.50x = 75,870.60 × 29,828
  4. Step 4: Simplify right side
    54,978.50x = 2,263,068,256.80
  5. Step 5: Solve for x
    x = 2,263,068,256.80/54,978.50
  6. Step 6: Final answer
    x = 41,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.