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Finding the Fourth Proportional to 212,256, 292,913.28 and 122,832

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Solution

The fourth proportional to 212,256, 292,913.28 and 122,832 is: 169,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,256 : 292,913.28 = 122,832 : x
  2. Step 2: Convert to fraction form
    212,256/292,913.28 = 122,832/x
  3. Step 3: Cross multiply
    212,256x = 292,913.28 × 122,832
  4. Step 4: Simplify right side
    212,256x = 35,979,124,008.96
  5. Step 5: Solve for x
    x = 35,979,124,008.96/212,256
  6. Step 6: Final answer
    x = 169,508.16

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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.