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Finding the Fourth Proportional to 275,569.21, 413,353.85 and 86,045.82

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Solution

The fourth proportional to 275,569.21, 413,353.85 and 86,045.82 is: 129,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,569.21 : 413,353.85 = 86,045.82 : x
  2. Step 2: Convert to fraction form
    275,569.21/413,353.85 = 86,045.82/x
  3. Step 3: Cross multiply
    275,569.21x = 413,353.85 × 86,045.82
  4. Step 4: Simplify right side
    275,569.21x = 35,567,369,241.04
  5. Step 5: Solve for x
    x = 35,567,369,241.04/275,569.21
  6. Step 6: Final answer
    x = 129,068.73

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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.