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Finding the Fourth Proportional to 138,755.56, 208,172.22 and 55,707.88

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Solution

The fourth proportional to 138,755.56, 208,172.22 and 55,707.88 is: 83,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755.56 : 208,172.22 = 55,707.88 : x
  2. Step 2: Convert to fraction form
    138,755.56/208,172.22 = 55,707.88/x
  3. Step 3: Cross multiply
    138,755.56x = 208,172.22 × 55,707.88
  4. Step 4: Simplify right side
    138,755.56x = 11,596,833,051.09
  5. Step 5: Solve for x
    x = 11,596,833,051.09/138,755.56
  6. Step 6: Final answer
    x = 83,577.43

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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.