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Finding the Fourth Proportional to 100,899.72, 139,255.02 and 65,193.60

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Solution

The fourth proportional to 100,899.72, 139,255.02 and 65,193.60 is: 89,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,899.72 : 139,255.02 = 65,193.60 : x
  2. Step 2: Convert to fraction form
    100,899.72/139,255.02 = 65,193.60/x
  3. Step 3: Cross multiply
    100,899.72x = 139,255.02 × 65,193.60
  4. Step 4: Simplify right side
    100,899.72x = 9,078,536,071.87
  5. Step 5: Solve for x
    x = 9,078,536,071.87/100,899.72
  6. Step 6: Final answer
    x = 89,975.83

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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.