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Finding the Fourth Proportional to 100,708.22, 138,980.84 and 55,389.63

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Solution

The fourth proportional to 100,708.22, 138,980.84 and 55,389.63 is: 76,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.22 : 138,980.84 = 55,389.63 : x
  2. Step 2: Convert to fraction form
    100,708.22/138,980.84 = 55,389.63/x
  3. Step 3: Cross multiply
    100,708.22x = 138,980.84 × 55,389.63
  4. Step 4: Simplify right side
    100,708.22x = 7,698,097,027.74
  5. Step 5: Solve for x
    x = 7,698,097,027.74/100,708.22
  6. Step 6: Final answer
    x = 76,439.61

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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.