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Finding the Fourth Proportional to 120,956.52, 166,847.10 and 77,921.82

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Solution

The fourth proportional to 120,956.52, 166,847.10 and 77,921.82 is: 107,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,956.52 : 166,847.10 = 77,921.82 : x
  2. Step 2: Convert to fraction form
    120,956.52/166,847.10 = 77,921.82/x
  3. Step 3: Cross multiply
    120,956.52x = 166,847.10 × 77,921.82
  4. Step 4: Simplify right side
    120,956.52x = 13,001,029,693.72
  5. Step 5: Solve for x
    x = 13,001,029,693.72/120,956.52
  6. Step 6: Final answer
    x = 107,485.15

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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.