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Finding the Fourth Proportional to 105,405.85, 157,855.42 and 60,290.43

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Solution

The fourth proportional to 105,405.85, 157,855.42 and 60,290.43 is: 90,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.85 : 157,855.42 = 60,290.43 : x
  2. Step 2: Convert to fraction form
    105,405.85/157,855.42 = 60,290.43/x
  3. Step 3: Cross multiply
    105,405.85x = 157,855.42 × 60,290.43
  4. Step 4: Simplify right side
    105,405.85x = 9,517,170,905.72
  5. Step 5: Solve for x
    x = 9,517,170,905.72/105,405.85
  6. Step 6: Final answer
    x = 90,290.73

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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.