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Finding the Fourth Proportional to 90,407.60, 135,512.88 and 77,219.96

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Solution

The fourth proportional to 90,407.60, 135,512.88 and 77,219.96 is: 115,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,407.60 : 135,512.88 = 77,219.96 : x
  2. Step 2: Convert to fraction form
    90,407.60/135,512.88 = 77,219.96/x
  3. Step 3: Cross multiply
    90,407.60x = 135,512.88 × 77,219.96
  4. Step 4: Simplify right side
    90,407.60x = 10,464,299,173.08
  5. Step 5: Solve for x
    x = 10,464,299,173.08/90,407.60
  6. Step 6: Final answer
    x = 115,745.79

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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.