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Finding the Fourth Proportional to 84,445.88, 116,489.23 and 54,235.80

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Solution

The fourth proportional to 84,445.88, 116,489.23 and 54,235.80 is: 74,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,445.88 : 116,489.23 = 54,235.80 : x
  2. Step 2: Convert to fraction form
    84,445.88/116,489.23 = 54,235.80/x
  3. Step 3: Cross multiply
    84,445.88x = 116,489.23 × 54,235.80
  4. Step 4: Simplify right side
    84,445.88x = 6,317,886,580.43
  5. Step 5: Solve for x
    x = 6,317,886,580.43/84,445.88
  6. Step 6: Final answer
    x = 74,815.81

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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.