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Finding the Fourth Proportional to 137,286, 189,457.84 and 76,855.12

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Solution

The fourth proportional to 137,286, 189,457.84 and 76,855.12 is: 106,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286 : 189,457.84 = 76,855.12 : x
  2. Step 2: Convert to fraction form
    137,286/189,457.84 = 76,855.12/x
  3. Step 3: Cross multiply
    137,286x = 189,457.84 × 76,855.12
  4. Step 4: Simplify right side
    137,286x = 14,560,805,028.14
  5. Step 5: Solve for x
    x = 14,560,805,028.14/137,286
  6. Step 6: Final answer
    x = 106,061.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.