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Finding the Fourth Proportional to 75,655, 104,404.62 and 42,121.72

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Solution

The fourth proportional to 75,655, 104,404.62 and 42,121.72 is: 58,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,655 : 104,404.62 = 42,121.72 : x
  2. Step 2: Convert to fraction form
    75,655/104,404.62 = 42,121.72/x
  3. Step 3: Cross multiply
    75,655x = 104,404.62 × 42,121.72
  4. Step 4: Simplify right side
    75,655x = 4,397,702,170.35
  5. Step 5: Solve for x
    x = 4,397,702,170.35/75,655
  6. Step 6: Final answer
    x = 58,128.37

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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.