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Finding the Fourth Proportional to 109,417.73, 164,126.64 and 84,494.21

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Solution

The fourth proportional to 109,417.73, 164,126.64 and 84,494.21 is: 126,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,417.73 : 164,126.64 = 84,494.21 : x
  2. Step 2: Convert to fraction form
    109,417.73/164,126.64 = 84,494.21/x
  3. Step 3: Cross multiply
    109,417.73x = 164,126.64 × 84,494.21
  4. Step 4: Simplify right side
    109,417.73x = 13,867,750,786.75
  5. Step 5: Solve for x
    x = 13,867,750,786.75/109,417.73
  6. Step 6: Final answer
    x = 126,741.35

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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.