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Finding the Fourth Proportional to 149,006.70, 205,628.14 and 81,023.72

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Solution

The fourth proportional to 149,006.70, 205,628.14 and 81,023.72 is: 111,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,006.70 : 205,628.14 = 81,023.72 : x
  2. Step 2: Convert to fraction form
    149,006.70/205,628.14 = 81,023.72/x
  3. Step 3: Cross multiply
    149,006.70x = 205,628.14 × 81,023.72
  4. Step 4: Simplify right side
    149,006.70x = 16,660,755,406.22
  5. Step 5: Solve for x
    x = 16,660,755,406.22/149,006.70
  6. Step 6: Final answer
    x = 111,812.12

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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.