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Finding the Fourth Proportional to 138,958.08, 208,446.80 and 55,852

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Solution

The fourth proportional to 138,958.08, 208,446.80 and 55,852 is: 83,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958.08 : 208,446.80 = 55,852 : x
  2. Step 2: Convert to fraction form
    138,958.08/208,446.80 = 55,852/x
  3. Step 3: Cross multiply
    138,958.08x = 208,446.80 × 55,852
  4. Step 4: Simplify right side
    138,958.08x = 11,642,170,673.60
  5. Step 5: Solve for x
    x = 11,642,170,673.60/138,958.08
  6. Step 6: Final answer
    x = 83,781.89

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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.