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Finding the Fourth Proportional to 123,634.63, 185,163.53 and 90,271.94

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Solution

The fourth proportional to 123,634.63, 185,163.53 and 90,271.94 is: 135,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,634.63 : 185,163.53 = 90,271.94 : x
  2. Step 2: Convert to fraction form
    123,634.63/185,163.53 = 90,271.94/x
  3. Step 3: Cross multiply
    123,634.63x = 185,163.53 × 90,271.94
  4. Step 4: Simplify right side
    123,634.63x = 16,715,071,070.35
  5. Step 5: Solve for x
    x = 16,715,071,070.35/123,634.63
  6. Step 6: Final answer
    x = 135,197.32

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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.