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Finding the Fourth Proportional to 169,286.76, 253,898.01 and 85,024.35

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Solution

The fourth proportional to 169,286.76, 253,898.01 and 85,024.35 is: 127,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,286.76 : 253,898.01 = 85,024.35 : x
  2. Step 2: Convert to fraction form
    169,286.76/253,898.01 = 85,024.35/x
  3. Step 3: Cross multiply
    169,286.76x = 253,898.01 × 85,024.35
  4. Step 4: Simplify right side
    169,286.76x = 21,587,513,266.54
  5. Step 5: Solve for x
    x = 21,587,513,266.54/169,286.76
  6. Step 6: Final answer
    x = 127,520.39

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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.