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Finding the Fourth Proportional to 138,324.64, 190,897.68 and 78,708.64

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Solution

The fourth proportional to 138,324.64, 190,897.68 and 78,708.64 is: 108,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324.64 : 190,897.68 = 78,708.64 : x
  2. Step 2: Convert to fraction form
    138,324.64/190,897.68 = 78,708.64/x
  3. Step 3: Cross multiply
    138,324.64x = 190,897.68 × 78,708.64
  4. Step 4: Simplify right side
    138,324.64x = 15,025,296,771.96
  5. Step 5: Solve for x
    x = 15,025,296,771.96/138,324.64
  6. Step 6: Final answer
    x = 108,623.43

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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.