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Finding the Fourth Proportional to 205,066.36, 307,411.62 and 71,874.01

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Solution

The fourth proportional to 205,066.36, 307,411.62 and 71,874.01 is: 107,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,066.36 : 307,411.62 = 71,874.01 : x
  2. Step 2: Convert to fraction form
    205,066.36/307,411.62 = 71,874.01/x
  3. Step 3: Cross multiply
    205,066.36x = 307,411.62 × 71,874.01
  4. Step 4: Simplify right side
    205,066.36x = 22,094,905,850.00
  5. Step 5: Solve for x
    x = 22,094,905,850.00/205,066.36
  6. Step 6: Final answer
    x = 107,745.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.