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Finding the Fourth Proportional to 275,670.17, 413,562.64 and 86,122.88

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Solution

The fourth proportional to 275,670.17, 413,562.64 and 86,122.88 is: 129,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,670.17 : 413,562.64 = 86,122.88 : x
  2. Step 2: Convert to fraction form
    275,670.17/413,562.64 = 86,122.88/x
  3. Step 3: Cross multiply
    275,670.17x = 413,562.64 × 86,122.88
  4. Step 4: Simplify right side
    275,670.17x = 35,617,203,549.39
  5. Step 5: Solve for x
    x = 35,617,203,549.39/275,670.17
  6. Step 6: Final answer
    x = 129,202.24

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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.