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Finding the Fourth Proportional to 90,301.56, 135,535.50 and 45,960

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Solution

The fourth proportional to 90,301.56, 135,535.50 and 45,960 is: 68,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,301.56 : 135,535.50 = 45,960 : x
  2. Step 2: Convert to fraction form
    90,301.56/135,535.50 = 45,960/x
  3. Step 3: Cross multiply
    90,301.56x = 135,535.50 × 45,960
  4. Step 4: Simplify right side
    90,301.56x = 6,229,211,580
  5. Step 5: Solve for x
    x = 6,229,211,580/90,301.56
  6. Step 6: Final answer
    x = 68,982.33

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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.