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Finding the Fourth Proportional to 89,069.64, 122,636.34 and 75,613

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Solution

The fourth proportional to 89,069.64, 122,636.34 and 75,613 is: 104,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,069.64 : 122,636.34 = 75,613 : x
  2. Step 2: Convert to fraction form
    89,069.64/122,636.34 = 75,613/x
  3. Step 3: Cross multiply
    89,069.64x = 122,636.34 × 75,613
  4. Step 4: Simplify right side
    89,069.64x = 9,272,901,576.42
  5. Step 5: Solve for x
    x = 9,272,901,576.42/89,069.64
  6. Step 6: Final answer
    x = 104,108.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.