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Finding the Fourth Proportional to 136,383, 204,581.79 and 42,896.04

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Solution

The fourth proportional to 136,383, 204,581.79 and 42,896.04 is: 64,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,383 : 204,581.79 = 42,896.04 : x
  2. Step 2: Convert to fraction form
    136,383/204,581.79 = 42,896.04/x
  3. Step 3: Cross multiply
    136,383x = 204,581.79 × 42,896.04
  4. Step 4: Simplify right side
    136,383x = 8,775,748,647.11
  5. Step 5: Solve for x
    x = 8,775,748,647.11/136,383
  6. Step 6: Final answer
    x = 64,346.35

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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.