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Finding the Fourth Proportional to 109,909.90, 164,749.42 and 69,959.49

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Solution

The fourth proportional to 109,909.90, 164,749.42 and 69,959.49 is: 104,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.90 : 164,749.42 = 69,959.49 : x
  2. Step 2: Convert to fraction form
    109,909.90/164,749.42 = 69,959.49/x
  3. Step 3: Cross multiply
    109,909.90x = 164,749.42 × 69,959.49
  4. Step 4: Simplify right side
    109,909.90x = 11,525,785,401.00
  5. Step 5: Solve for x
    x = 11,525,785,401.00/109,909.90
  6. Step 6: Final answer
    x = 104,865.76

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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.