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Finding the Fourth Proportional to 102,766.40, 154,227.50 and 43,643.58

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Solution

The fourth proportional to 102,766.40, 154,227.50 and 43,643.58 is: 65,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766.40 : 154,227.50 = 43,643.58 : x
  2. Step 2: Convert to fraction form
    102,766.40/154,227.50 = 43,643.58/x
  3. Step 3: Cross multiply
    102,766.40x = 154,227.50 × 43,643.58
  4. Step 4: Simplify right side
    102,766.40x = 6,731,040,234.45
  5. Step 5: Solve for x
    x = 6,731,040,234.45/102,766.40
  6. Step 6: Final answer
    x = 65,498.45

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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.