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Finding the Fourth Proportional to 90,603.40, 135,905.10 and 82,438.60

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Solution

The fourth proportional to 90,603.40, 135,905.10 and 82,438.60 is: 123,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,603.40 : 135,905.10 = 82,438.60 : x
  2. Step 2: Convert to fraction form
    90,603.40/135,905.10 = 82,438.60/x
  3. Step 3: Cross multiply
    90,603.40x = 135,905.10 × 82,438.60
  4. Step 4: Simplify right side
    90,603.40x = 11,203,826,176.86
  5. Step 5: Solve for x
    x = 11,203,826,176.86/90,603.40
  6. Step 6: Final answer
    x = 123,657.90

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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.