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Finding the Fourth Proportional to 137,577.54, 189,787.11 and 89,858.82

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Solution

The fourth proportional to 137,577.54, 189,787.11 and 89,858.82 is: 123,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,577.54 : 189,787.11 = 89,858.82 : x
  2. Step 2: Convert to fraction form
    137,577.54/189,787.11 = 89,858.82/x
  3. Step 3: Cross multiply
    137,577.54x = 189,787.11 × 89,858.82
  4. Step 4: Simplify right side
    137,577.54x = 17,054,045,755.81
  5. Step 5: Solve for x
    x = 17,054,045,755.81/137,577.54
  6. Step 6: Final answer
    x = 123,959.52

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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.