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Finding the Fourth Proportional to 149,407.91, 206,177.69 and 81,423.51

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Solution

The fourth proportional to 149,407.91, 206,177.69 and 81,423.51 is: 112,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,407.91 : 206,177.69 = 81,423.51 : x
  2. Step 2: Convert to fraction form
    149,407.91/206,177.69 = 81,423.51/x
  3. Step 3: Cross multiply
    149,407.91x = 206,177.69 × 81,423.51
  4. Step 4: Simplify right side
    149,407.91x = 16,787,710,796.37
  5. Step 5: Solve for x
    x = 16,787,710,796.37/149,407.91
  6. Step 6: Final answer
    x = 112,361.60

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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.