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Finding the Fourth Proportional to 149,026.51, 205,656.47 and 81,958.51

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Solution

The fourth proportional to 149,026.51, 205,656.47 and 81,958.51 is: 113,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,026.51 : 205,656.47 = 81,958.51 : x
  2. Step 2: Convert to fraction form
    149,026.51/205,656.47 = 81,958.51/x
  3. Step 3: Cross multiply
    149,026.51x = 205,656.47 × 81,958.51
  4. Step 4: Simplify right side
    149,026.51x = 16,855,297,443.27
  5. Step 5: Solve for x
    x = 16,855,297,443.27/149,026.51
  6. Step 6: Final answer
    x = 113,102.68

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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.