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Finding the Fourth Proportional to 138,327.64, 190,890.22 and 77,899

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Solution

The fourth proportional to 138,327.64, 190,890.22 and 77,899 is: 107,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.64 : 190,890.22 = 77,899 : x
  2. Step 2: Convert to fraction form
    138,327.64/190,890.22 = 77,899/x
  3. Step 3: Cross multiply
    138,327.64x = 190,890.22 × 77,899
  4. Step 4: Simplify right side
    138,327.64x = 14,870,157,247.78
  5. Step 5: Solve for x
    x = 14,870,157,247.78/138,327.64
  6. Step 6: Final answer
    x = 107,499.54

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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.