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Finding the Fourth Proportional to 82,579.16, 123,868.74 and 35,831

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Solution

The fourth proportional to 82,579.16, 123,868.74 and 35,831 is: 53,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,579.16 : 123,868.74 = 35,831 : x
  2. Step 2: Convert to fraction form
    82,579.16/123,868.74 = 35,831/x
  3. Step 3: Cross multiply
    82,579.16x = 123,868.74 × 35,831
  4. Step 4: Simplify right side
    82,579.16x = 4,438,340,822.94
  5. Step 5: Solve for x
    x = 4,438,340,822.94/82,579.16
  6. Step 6: Final answer
    x = 53,746.50

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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.