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Finding the Fourth Proportional to 100,202.72, 137,965.02 and 85,064

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Solution

The fourth proportional to 100,202.72, 137,965.02 and 85,064 is: 117,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.72 : 137,965.02 = 85,064 : x
  2. Step 2: Convert to fraction form
    100,202.72/137,965.02 = 85,064/x
  3. Step 3: Cross multiply
    100,202.72x = 137,965.02 × 85,064
  4. Step 4: Simplify right side
    100,202.72x = 11,735,856,461.28
  5. Step 5: Solve for x
    x = 11,735,856,461.28/100,202.72
  6. Step 6: Final answer
    x = 117,121.14

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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.