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Finding the Fourth Proportional to 109,486.20, 164,229.30 and 102,574.20

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Solution

The fourth proportional to 109,486.20, 164,229.30 and 102,574.20 is: 153,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.20 : 164,229.30 = 102,574.20 : x
  2. Step 2: Convert to fraction form
    109,486.20/164,229.30 = 102,574.20/x
  3. Step 3: Cross multiply
    109,486.20x = 164,229.30 × 102,574.20
  4. Step 4: Simplify right side
    109,486.20x = 16,845,689,064.06
  5. Step 5: Solve for x
    x = 16,845,689,064.06/109,486.20
  6. Step 6: Final answer
    x = 153,861.30

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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.