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Finding the Fourth Proportional to 138,004.74, 190,447.60 and 76,751.79

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Solution

The fourth proportional to 138,004.74, 190,447.60 and 76,751.79 is: 105,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,004.74 : 190,447.60 = 76,751.79 : x
  2. Step 2: Convert to fraction form
    138,004.74/190,447.60 = 76,751.79/x
  3. Step 3: Cross multiply
    138,004.74x = 190,447.60 × 76,751.79
  4. Step 4: Simplify right side
    138,004.74x = 14,617,194,201.20
  5. Step 5: Solve for x
    x = 14,617,194,201.20/138,004.74
  6. Step 6: Final answer
    x = 105,918.06

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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.