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Finding the Fourth Proportional to 149,098.82, 205,751.10 and 81,113.90

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Solution

The fourth proportional to 149,098.82, 205,751.10 and 81,113.90 is: 111,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,098.82 : 205,751.10 = 81,113.90 : x
  2. Step 2: Convert to fraction form
    149,098.82/205,751.10 = 81,113.90/x
  3. Step 3: Cross multiply
    149,098.82x = 205,751.10 × 81,113.90
  4. Step 4: Simplify right side
    149,098.82x = 16,689,274,150.29
  5. Step 5: Solve for x
    x = 16,689,274,150.29/149,098.82
  6. Step 6: Final answer
    x = 111,934.31

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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.