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Finding the Fourth Proportional to 55,792.44, 76,989 and 30,641.92

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Solution

The fourth proportional to 55,792.44, 76,989 and 30,641.92 is: 42,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,792.44 : 76,989 = 30,641.92 : x
  2. Step 2: Convert to fraction form
    55,792.44/76,989 = 30,641.92/x
  3. Step 3: Cross multiply
    55,792.44x = 76,989 × 30,641.92
  4. Step 4: Simplify right side
    55,792.44x = 2,359,090,778.88
  5. Step 5: Solve for x
    x = 2,359,090,778.88/55,792.44
  6. Step 6: Final answer
    x = 42,283.34

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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.