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Finding the Fourth Proportional to 120,992.64, 181,601.28 and 61,870.56

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Solution

The fourth proportional to 120,992.64, 181,601.28 and 61,870.56 is: 92,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992.64 : 181,601.28 = 61,870.56 : x
  2. Step 2: Convert to fraction form
    120,992.64/181,601.28 = 61,870.56/x
  3. Step 3: Cross multiply
    120,992.64x = 181,601.28 × 61,870.56
  4. Step 4: Simplify right side
    120,992.64x = 11,235,772,890.32
  5. Step 5: Solve for x
    x = 11,235,772,890.32/120,992.64
  6. Step 6: Final answer
    x = 92,863.28

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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.