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Finding the Fourth Proportional to 149,707, 206,595.66 and 82,639

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Solution

The fourth proportional to 149,707, 206,595.66 and 82,639 is: 114,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,707 : 206,595.66 = 82,639 : x
  2. Step 2: Convert to fraction form
    149,707/206,595.66 = 82,639/x
  3. Step 3: Cross multiply
    149,707x = 206,595.66 × 82,639
  4. Step 4: Simplify right side
    149,707x = 17,072,858,746.74
  5. Step 5: Solve for x
    x = 17,072,858,746.74/149,707
  6. Step 6: Final answer
    x = 114,041.82

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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.