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Finding the Fourth Proportional to 73,705, 101,712.81 and 40,171

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Solution

The fourth proportional to 73,705, 101,712.81 and 40,171 is: 55,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,705 : 101,712.81 = 40,171 : x
  2. Step 2: Convert to fraction form
    73,705/101,712.81 = 40,171/x
  3. Step 3: Cross multiply
    73,705x = 101,712.81 × 40,171
  4. Step 4: Simplify right side
    73,705x = 4,085,905,290.51
  5. Step 5: Solve for x
    x = 4,085,905,290.51/73,705
  6. Step 6: Final answer
    x = 55,435.93

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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.