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Finding the Fourth Proportional to 122,245.14, 168,708 and 71,953.86

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Solution

The fourth proportional to 122,245.14, 168,708 and 71,953.86 is: 99,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,245.14 : 168,708 = 71,953.86 : x
  2. Step 2: Convert to fraction form
    122,245.14/168,708 = 71,953.86/x
  3. Step 3: Cross multiply
    122,245.14x = 168,708 × 71,953.86
  4. Step 4: Simplify right side
    122,245.14x = 12,139,191,812.88
  5. Step 5: Solve for x
    x = 12,139,191,812.88/122,245.14
  6. Step 6: Final answer
    x = 99,302.04

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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.