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Finding the Fourth Proportional to 75,020.72, 112,531.24 and 30,647.51

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Solution

The fourth proportional to 75,020.72, 112,531.24 and 30,647.51 is: 45,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,020.72 : 112,531.24 = 30,647.51 : x
  2. Step 2: Convert to fraction form
    75,020.72/112,531.24 = 30,647.51/x
  3. Step 3: Cross multiply
    75,020.72x = 112,531.24 × 30,647.51
  4. Step 4: Simplify right side
    75,020.72x = 3,448,801,663.94
  5. Step 5: Solve for x
    x = 3,448,801,663.94/75,020.72
  6. Step 6: Final answer
    x = 45,971.32

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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.