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Finding the Fourth Proportional to 90,163.64, 135,280.02 and 37,559

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Solution

The fourth proportional to 90,163.64, 135,280.02 and 37,559 is: 56,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,163.64 : 135,280.02 = 37,559 : x
  2. Step 2: Convert to fraction form
    90,163.64/135,280.02 = 37,559/x
  3. Step 3: Cross multiply
    90,163.64x = 135,280.02 × 37,559
  4. Step 4: Simplify right side
    90,163.64x = 5,080,982,271.18
  5. Step 5: Solve for x
    x = 5,080,982,271.18/90,163.64
  6. Step 6: Final answer
    x = 56,352.90

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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.