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Finding the Fourth Proportional to 93,890, 129,568.20 and 54,146

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Solution

The fourth proportional to 93,890, 129,568.20 and 54,146 is: 74,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,890 : 129,568.20 = 54,146 : x
  2. Step 2: Convert to fraction form
    93,890/129,568.20 = 54,146/x
  3. Step 3: Cross multiply
    93,890x = 129,568.20 × 54,146
  4. Step 4: Simplify right side
    93,890x = 7,015,599,757.20
  5. Step 5: Solve for x
    x = 7,015,599,757.20/93,890
  6. Step 6: Final answer
    x = 74,721.48

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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.