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Finding the Fourth Proportional to 45,900, 63,448.11 and 38,302.20

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Solution

The fourth proportional to 45,900, 63,448.11 and 38,302.20 is: 52,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,900 : 63,448.11 = 38,302.20 : x
  2. Step 2: Convert to fraction form
    45,900/63,448.11 = 38,302.20/x
  3. Step 3: Cross multiply
    45,900x = 63,448.11 × 38,302.20
  4. Step 4: Simplify right side
    45,900x = 2,430,202,198.84
  5. Step 5: Solve for x
    x = 2,430,202,198.84/45,900
  6. Step 6: Final answer
    x = 52,945.58

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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.