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Finding the Fourth Proportional to 105,679.90, 158,588.56 and 45,766.90

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Solution

The fourth proportional to 105,679.90, 158,588.56 and 45,766.90 is: 68,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,679.90 : 158,588.56 = 45,766.90 : x
  2. Step 2: Convert to fraction form
    105,679.90/158,588.56 = 45,766.90/x
  3. Step 3: Cross multiply
    105,679.90x = 158,588.56 × 45,766.90
  4. Step 4: Simplify right side
    105,679.90x = 7,258,106,766.66
  5. Step 5: Solve for x
    x = 7,258,106,766.66/105,679.90
  6. Step 6: Final answer
    x = 68,680.11

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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.