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Finding the Fourth Proportional to 126,705.82, 174,836.75 and 75,707.76

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Solution

The fourth proportional to 126,705.82, 174,836.75 and 75,707.76 is: 104,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,705.82 : 174,836.75 = 75,707.76 : x
  2. Step 2: Convert to fraction form
    126,705.82/174,836.75 = 75,707.76/x
  3. Step 3: Cross multiply
    126,705.82x = 174,836.75 × 75,707.76
  4. Step 4: Simplify right side
    126,705.82x = 13,236,498,985.28
  5. Step 5: Solve for x
    x = 13,236,498,985.28/126,705.82
  6. Step 6: Final answer
    x = 104,466.39

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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.