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Finding the Fourth Proportional to 90,193.20, 135,030.60 and 55,201.20

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Solution

The fourth proportional to 90,193.20, 135,030.60 and 55,201.20 is: 82,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193.20 : 135,030.60 = 55,201.20 : x
  2. Step 2: Convert to fraction form
    90,193.20/135,030.60 = 55,201.20/x
  3. Step 3: Cross multiply
    90,193.20x = 135,030.60 × 55,201.20
  4. Step 4: Simplify right side
    90,193.20x = 7,453,851,156.72
  5. Step 5: Solve for x
    x = 7,453,851,156.72/90,193.20
  6. Step 6: Final answer
    x = 82,643.16

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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.