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Finding the Fourth Proportional to 136,121.60, 204,094.90 and 65,005.76

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Solution

The fourth proportional to 136,121.60, 204,094.90 and 65,005.76 is: 97,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,121.60 : 204,094.90 = 65,005.76 : x
  2. Step 2: Convert to fraction form
    136,121.60/204,094.90 = 65,005.76/x
  3. Step 3: Cross multiply
    136,121.60x = 204,094.90 × 65,005.76
  4. Step 4: Simplify right side
    136,121.60x = 13,267,344,086.62
  5. Step 5: Solve for x
    x = 13,267,344,086.62/136,121.60
  6. Step 6: Final answer
    x = 97,466.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.