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Finding the Fourth Proportional to 100,865.40, 139,064.18 and 82,648.40

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Solution

The fourth proportional to 100,865.40, 139,064.18 and 82,648.40 is: 113,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,865.40 : 139,064.18 = 82,648.40 : x
  2. Step 2: Convert to fraction form
    100,865.40/139,064.18 = 82,648.40/x
  3. Step 3: Cross multiply
    100,865.40x = 139,064.18 × 82,648.40
  4. Step 4: Simplify right side
    100,865.40x = 11,493,430,865.75
  5. Step 5: Solve for x
    x = 11,493,430,865.75/100,865.40
  6. Step 6: Final answer
    x = 113,948.20

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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.