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Finding the Fourth Proportional to 212,204.64, 292,844.37 and 115,409.40

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Solution

The fourth proportional to 212,204.64, 292,844.37 and 115,409.40 is: 159,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,204.64 : 292,844.37 = 115,409.40 : x
  2. Step 2: Convert to fraction form
    212,204.64/292,844.37 = 115,409.40/x
  3. Step 3: Cross multiply
    212,204.64x = 292,844.37 × 115,409.40
  4. Step 4: Simplify right side
    212,204.64x = 33,796,993,035.08
  5. Step 5: Solve for x
    x = 33,796,993,035.08/212,204.64
  6. Step 6: Final answer
    x = 159,266.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.