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Finding the Fourth Proportional to 169,969.20, 254,945.70 and 57,638.40

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Solution

The fourth proportional to 169,969.20, 254,945.70 and 57,638.40 is: 86,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,969.20 : 254,945.70 = 57,638.40 : x
  2. Step 2: Convert to fraction form
    169,969.20/254,945.70 = 57,638.40/x
  3. Step 3: Cross multiply
    169,969.20x = 254,945.70 × 57,638.40
  4. Step 4: Simplify right side
    169,969.20x = 14,694,662,234.88
  5. Step 5: Solve for x
    x = 14,694,662,234.88/169,969.20
  6. Step 6: Final answer
    x = 86,454.85

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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.