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Finding the Fourth Proportional to 109,865.80, 164,798.70 and 108,116.20

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Solution

The fourth proportional to 109,865.80, 164,798.70 and 108,116.20 is: 162,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,865.80 : 164,798.70 = 108,116.20 : x
  2. Step 2: Convert to fraction form
    109,865.80/164,798.70 = 108,116.20/x
  3. Step 3: Cross multiply
    109,865.80x = 164,798.70 × 108,116.20
  4. Step 4: Simplify right side
    109,865.80x = 17,817,409,208.94
  5. Step 5: Solve for x
    x = 17,817,409,208.94/109,865.80
  6. Step 6: Final answer
    x = 162,174.30

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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.