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Finding the Fourth Proportional to 109,819.80, 164,729.70 and 86,200.20

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Solution

The fourth proportional to 109,819.80, 164,729.70 and 86,200.20 is: 129,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,819.80 : 164,729.70 = 86,200.20 : x
  2. Step 2: Convert to fraction form
    109,819.80/164,729.70 = 86,200.20/x
  3. Step 3: Cross multiply
    109,819.80x = 164,729.70 × 86,200.20
  4. Step 4: Simplify right side
    109,819.80x = 14,199,733,085.94
  5. Step 5: Solve for x
    x = 14,199,733,085.94/109,819.80
  6. Step 6: Final answer
    x = 129,300.30

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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.