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Finding the Fourth Proportional to 199,579.64, 299,368.92 and 81,223

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Solution

The fourth proportional to 199,579.64, 299,368.92 and 81,223 is: 121,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,579.64 : 299,368.92 = 81,223 : x
  2. Step 2: Convert to fraction form
    199,579.64/299,368.92 = 81,223/x
  3. Step 3: Cross multiply
    199,579.64x = 299,368.92 × 81,223
  4. Step 4: Simplify right side
    199,579.64x = 24,315,641,789.16
  5. Step 5: Solve for x
    x = 24,315,641,789.16/199,579.64
  6. Step 6: Final answer
    x = 121,834.28

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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.