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Finding the Fourth Proportional to 84,905.46, 127,324.83 and 28,730.10

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Solution

The fourth proportional to 84,905.46, 127,324.83 and 28,730.10 is: 43,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905.46 : 127,324.83 = 28,730.10 : x
  2. Step 2: Convert to fraction form
    84,905.46/127,324.83 = 28,730.10/x
  3. Step 3: Cross multiply
    84,905.46x = 127,324.83 × 28,730.10
  4. Step 4: Simplify right side
    84,905.46x = 3,658,055,098.38
  5. Step 5: Solve for x
    x = 3,658,055,098.38/84,905.46
  6. Step 6: Final answer
    x = 43,083.86

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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.