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Finding the Fourth Proportional to 109,638.60, 164,484.90 and 30,751.80

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Solution

The fourth proportional to 109,638.60, 164,484.90 and 30,751.80 is: 46,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.60 : 164,484.90 = 30,751.80 : x
  2. Step 2: Convert to fraction form
    109,638.60/164,484.90 = 30,751.80/x
  3. Step 3: Cross multiply
    109,638.60x = 164,484.90 × 30,751.80
  4. Step 4: Simplify right side
    109,638.60x = 5,058,206,747.82
  5. Step 5: Solve for x
    x = 5,058,206,747.82/109,638.60
  6. Step 6: Final answer
    x = 46,135.27

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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.