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Finding the Fourth Proportional to 100,865.65, 139,064.52 and 82,648.65

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Solution

The fourth proportional to 100,865.65, 139,064.52 and 82,648.65 is: 113,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,865.65 : 139,064.52 = 82,648.65 : x
  2. Step 2: Convert to fraction form
    100,865.65/139,064.52 = 82,648.65/x
  3. Step 3: Cross multiply
    100,865.65x = 139,064.52 × 82,648.65
  4. Step 4: Simplify right side
    100,865.65x = 11,493,494,840.90
  5. Step 5: Solve for x
    x = 11,493,494,840.90/100,865.65
  6. Step 6: Final answer
    x = 113,948.55

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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.