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Finding the Fourth Proportional to 126,686, 174,833.16 and 76,388.24

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Solution

The fourth proportional to 126,686, 174,833.16 and 76,388.24 is: 105,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,686 : 174,833.16 = 76,388.24 : x
  2. Step 2: Convert to fraction form
    126,686/174,833.16 = 76,388.24/x
  3. Step 3: Cross multiply
    126,686x = 174,833.16 × 76,388.24
  4. Step 4: Simplify right side
    126,686x = 13,355,197,386.04
  5. Step 5: Solve for x
    x = 13,355,197,386.04/126,686
  6. Step 6: Final answer
    x = 105,419.68

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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.