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Finding the Fourth Proportional to 149,797.81, 206,720.64 and 81,814.78

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Solution

The fourth proportional to 149,797.81, 206,720.64 and 81,814.78 is: 112,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.81 : 206,720.64 = 81,814.78 : x
  2. Step 2: Convert to fraction form
    149,797.81/206,720.64 = 81,814.78/x
  3. Step 3: Cross multiply
    149,797.81x = 206,720.64 × 81,814.78
  4. Step 4: Simplify right side
    149,797.81x = 16,912,803,683.06
  5. Step 5: Solve for x
    x = 16,912,803,683.06/149,797.81
  6. Step 6: Final answer
    x = 112,904.21

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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.