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Finding the Fourth Proportional to 169,684, 254,462 and 136,322.08

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Solution

The fourth proportional to 169,684, 254,462 and 136,322.08 is: 204,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,684 : 254,462 = 136,322.08 : x
  2. Step 2: Convert to fraction form
    169,684/254,462 = 136,322.08/x
  3. Step 3: Cross multiply
    169,684x = 254,462 × 136,322.08
  4. Step 4: Simplify right side
    169,684x = 34,688,789,120.96
  5. Step 5: Solve for x
    x = 34,688,789,120.96/169,684
  6. Step 6: Final answer
    x = 204,431.70

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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.