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Finding the Fourth Proportional to 252,885.76, 349,006.47 and 138,181.82

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Solution

The fourth proportional to 252,885.76, 349,006.47 and 138,181.82 is: 190,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,885.76 : 349,006.47 = 138,181.82 : x
  2. Step 2: Convert to fraction form
    252,885.76/349,006.47 = 138,181.82/x
  3. Step 3: Cross multiply
    252,885.76x = 349,006.47 × 138,181.82
  4. Step 4: Simplify right side
    252,885.76x = 48,226,347,471.34
  5. Step 5: Solve for x
    x = 48,226,347,471.34/252,885.76
  6. Step 6: Final answer
    x = 190,704.09

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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.