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Finding the Fourth Proportional to 81,918, 113,027.40 and 46,100.88

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Solution

The fourth proportional to 81,918, 113,027.40 and 46,100.88 is: 63,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,918 : 113,027.40 = 46,100.88 : x
  2. Step 2: Convert to fraction form
    81,918/113,027.40 = 46,100.88/x
  3. Step 3: Cross multiply
    81,918x = 113,027.40 × 46,100.88
  4. Step 4: Simplify right side
    81,918x = 5,210,662,604.11
  5. Step 5: Solve for x
    x = 5,210,662,604.11/81,918
  6. Step 6: Final answer
    x = 63,608.27

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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.