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Finding the Fourth Proportional to 100,834.96, 139,114.92 and 100,679.44

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Solution

The fourth proportional to 100,834.96, 139,114.92 and 100,679.44 is: 138,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.96 : 139,114.92 = 100,679.44 : x
  2. Step 2: Convert to fraction form
    100,834.96/139,114.92 = 100,679.44/x
  3. Step 3: Cross multiply
    100,834.96x = 139,114.92 × 100,679.44
  4. Step 4: Simplify right side
    100,834.96x = 14,006,012,241.24
  5. Step 5: Solve for x
    x = 14,006,012,241.24/100,834.96
  6. Step 6: Final answer
    x = 138,900.36

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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.