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Finding the Fourth Proportional to 149,368, 206,128.48 and 82,298.56

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Solution

The fourth proportional to 149,368, 206,128.48 and 82,298.56 is: 113,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,368 : 206,128.48 = 82,298.56 : x
  2. Step 2: Convert to fraction form
    149,368/206,128.48 = 82,298.56/x
  3. Step 3: Cross multiply
    149,368x = 206,128.48 × 82,298.56
  4. Step 4: Simplify right side
    149,368x = 16,964,077,078.99
  5. Step 5: Solve for x
    x = 16,964,077,078.99/149,368
  6. Step 6: Final answer
    x = 113,572.37

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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.