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Finding the Fourth Proportional to 72,383.76, 108,577.14 and 19,792.92

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Solution

The fourth proportional to 72,383.76, 108,577.14 and 19,792.92 is: 29,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,383.76 : 108,577.14 = 19,792.92 : x
  2. Step 2: Convert to fraction form
    72,383.76/108,577.14 = 19,792.92/x
  3. Step 3: Cross multiply
    72,383.76x = 108,577.14 × 19,792.92
  4. Step 4: Simplify right side
    72,383.76x = 2,149,058,645.85
  5. Step 5: Solve for x
    x = 2,149,058,645.85/72,383.76
  6. Step 6: Final answer
    x = 29,689.79

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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.