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Finding the Fourth Proportional to 100,962.50, 139,299.26 and 65,172.87

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Solution

The fourth proportional to 100,962.50, 139,299.26 and 65,172.87 is: 89,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962.50 : 139,299.26 = 65,172.87 : x
  2. Step 2: Convert to fraction form
    100,962.50/139,299.26 = 65,172.87/x
  3. Step 3: Cross multiply
    100,962.50x = 139,299.26 × 65,172.87
  4. Step 4: Simplify right side
    100,962.50x = 9,078,532,237.21
  5. Step 5: Solve for x
    x = 9,078,532,237.21/100,962.50
  6. Step 6: Final answer
    x = 89,919.85

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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.