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Finding the Fourth Proportional to 109,063.40, 163,940.70 and 102,842.60

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Solution

The fourth proportional to 109,063.40, 163,940.70 and 102,842.60 is: 154,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,063.40 : 163,940.70 = 102,842.60 : x
  2. Step 2: Convert to fraction form
    109,063.40/163,940.70 = 102,842.60/x
  3. Step 3: Cross multiply
    109,063.40x = 163,940.70 × 102,842.60
  4. Step 4: Simplify right side
    109,063.40x = 16,860,087,833.82
  5. Step 5: Solve for x
    x = 16,860,087,833.82/109,063.40
  6. Step 6: Final answer
    x = 154,589.79

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1.5x scale

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.