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Finding the Fourth Proportional to 252,172.32, 378,267.12 and 85,956

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Solution

The fourth proportional to 252,172.32, 378,267.12 and 85,956 is: 128,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,172.32 : 378,267.12 = 85,956 : x
  2. Step 2: Convert to fraction form
    252,172.32/378,267.12 = 85,956/x
  3. Step 3: Cross multiply
    252,172.32x = 378,267.12 × 85,956
  4. Step 4: Simplify right side
    252,172.32x = 32,514,328,566.72
  5. Step 5: Solve for x
    x = 32,514,328,566.72/252,172.32
  6. Step 6: Final answer
    x = 128,936.95

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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.