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Finding the Fourth Proportional to 71,636.34, 98,759.36 and 57,149.69

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Solution

The fourth proportional to 71,636.34, 98,759.36 and 57,149.69 is: 78,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,636.34 : 98,759.36 = 57,149.69 : x
  2. Step 2: Convert to fraction form
    71,636.34/98,759.36 = 57,149.69/x
  3. Step 3: Cross multiply
    71,636.34x = 98,759.36 × 57,149.69
  4. Step 4: Simplify right side
    71,636.34x = 5,644,066,808.60
  5. Step 5: Solve for x
    x = 5,644,066,808.60/71,636.34
  6. Step 6: Final answer
    x = 78,787.76

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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.