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Finding the Fourth Proportional to 149,491.96, 206,295.10 and 81,509.07

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Solution

The fourth proportional to 149,491.96, 206,295.10 and 81,509.07 is: 112,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,491.96 : 206,295.10 = 81,509.07 : x
  2. Step 2: Convert to fraction form
    149,491.96/206,295.10 = 81,509.07/x
  3. Step 3: Cross multiply
    149,491.96x = 206,295.10 × 81,509.07
  4. Step 4: Simplify right side
    149,491.96x = 16,814,921,746.56
  5. Step 5: Solve for x
    x = 16,814,921,746.56/149,491.96
  6. Step 6: Final answer
    x = 112,480.44

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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.