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Finding the Fourth Proportional to 120,385.88, 166,077.36 and 77,958.08

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Solution

The fourth proportional to 120,385.88, 166,077.36 and 77,958.08 is: 107,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,385.88 : 166,077.36 = 77,958.08 : x
  2. Step 2: Convert to fraction form
    120,385.88/166,077.36 = 77,958.08/x
  3. Step 3: Cross multiply
    120,385.88x = 166,077.36 × 77,958.08
  4. Step 4: Simplify right side
    120,385.88x = 12,947,072,117.07
  5. Step 5: Solve for x
    x = 12,947,072,117.07/120,385.88
  6. Step 6: Final answer
    x = 107,546.43

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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.