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Finding the Fourth Proportional to 123,705.84, 170,713.32 and 67,116

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Solution

The fourth proportional to 123,705.84, 170,713.32 and 67,116 is: 92,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,705.84 : 170,713.32 = 67,116 : x
  2. Step 2: Convert to fraction form
    123,705.84/170,713.32 = 67,116/x
  3. Step 3: Cross multiply
    123,705.84x = 170,713.32 × 67,116
  4. Step 4: Simplify right side
    123,705.84x = 11,457,595,185.12
  5. Step 5: Solve for x
    x = 11,457,595,185.12/123,705.84
  6. Step 6: Final answer
    x = 92,619.68

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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.