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Finding the Fourth Proportional to 252,259.88, 378,428.70 and 86,009

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Solution

The fourth proportional to 252,259.88, 378,428.70 and 86,009 is: 129,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,259.88 : 378,428.70 = 86,009 : x
  2. Step 2: Convert to fraction form
    252,259.88/378,428.70 = 86,009/x
  3. Step 3: Cross multiply
    252,259.88x = 378,428.70 × 86,009
  4. Step 4: Simplify right side
    252,259.88x = 32,548,274,058.30
  5. Step 5: Solve for x
    x = 32,548,274,058.30/252,259.88
  6. Step 6: Final answer
    x = 129,026.76

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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.