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Finding the Fourth Proportional to 103,093.83, 154,561.86 and 71,412.84

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Solution

The fourth proportional to 103,093.83, 154,561.86 and 71,412.84 is: 107,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,093.83 : 154,561.86 = 71,412.84 : x
  2. Step 2: Convert to fraction form
    103,093.83/154,561.86 = 71,412.84/x
  3. Step 3: Cross multiply
    103,093.83x = 154,561.86 × 71,412.84
  4. Step 4: Simplify right side
    103,093.83x = 11,037,701,378.28
  5. Step 5: Solve for x
    x = 11,037,701,378.28/103,093.83
  6. Step 6: Final answer
    x = 107,064.62

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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.