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Finding the Fourth Proportional to 90,333.56, 135,583.50 and 45,992

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Solution

The fourth proportional to 90,333.56, 135,583.50 and 45,992 is: 69,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,333.56 : 135,583.50 = 45,992 : x
  2. Step 2: Convert to fraction form
    90,333.56/135,583.50 = 45,992/x
  3. Step 3: Cross multiply
    90,333.56x = 135,583.50 × 45,992
  4. Step 4: Simplify right side
    90,333.56x = 6,235,756,332
  5. Step 5: Solve for x
    x = 6,235,756,332/90,333.56
  6. Step 6: Final answer
    x = 69,030.34

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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.