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Finding the Fourth Proportional to 104,850, 157,121.64 and 65,286.72

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Solution

The fourth proportional to 104,850, 157,121.64 and 65,286.72 is: 97,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,850 : 157,121.64 = 65,286.72 : x
  2. Step 2: Convert to fraction form
    104,850/157,121.64 = 65,286.72/x
  3. Step 3: Cross multiply
    104,850x = 157,121.64 × 65,286.72
  4. Step 4: Simplify right side
    104,850x = 10,257,956,516.62
  5. Step 5: Solve for x
    x = 10,257,956,516.62/104,850
  6. Step 6: Final answer
    x = 97,834.59

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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.