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Finding the Fourth Proportional to 55,402.72, 83,104.89 and 13,849.72

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Solution

The fourth proportional to 55,402.72, 83,104.89 and 13,849.72 is: 20,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.72 : 83,104.89 = 13,849.72 : x
  2. Step 2: Convert to fraction form
    55,402.72/83,104.89 = 13,849.72/x
  3. Step 3: Cross multiply
    55,402.72x = 83,104.89 × 13,849.72
  4. Step 4: Simplify right side
    55,402.72x = 1,150,979,457.13
  5. Step 5: Solve for x
    x = 1,150,979,457.13/55,402.72
  6. Step 6: Final answer
    x = 20,774.78

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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.