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Finding the Fourth Proportional to 75,055.72, 103,572.90 and 41,521

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Solution

The fourth proportional to 75,055.72, 103,572.90 and 41,521 is: 57,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,055.72 : 103,572.90 = 41,521 : x
  2. Step 2: Convert to fraction form
    75,055.72/103,572.90 = 41,521/x
  3. Step 3: Cross multiply
    75,055.72x = 103,572.90 × 41,521
  4. Step 4: Simplify right side
    75,055.72x = 4,300,450,380.90
  5. Step 5: Solve for x
    x = 4,300,450,380.90/75,055.72
  6. Step 6: Final answer
    x = 57,296.77

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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.