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Finding the Fourth Proportional to 90,420.87, 135,657.69 and 40,489.29

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Solution

The fourth proportional to 90,420.87, 135,657.69 and 40,489.29 is: 60,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,420.87 : 135,657.69 = 40,489.29 : x
  2. Step 2: Convert to fraction form
    90,420.87/135,657.69 = 40,489.29/x
  3. Step 3: Cross multiply
    90,420.87x = 135,657.69 × 40,489.29
  4. Step 4: Simplify right side
    90,420.87x = 5,492,683,551.14
  5. Step 5: Solve for x
    x = 5,492,683,551.14/90,420.87
  6. Step 6: Final answer
    x = 60,745.75

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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.