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Finding the Fourth Proportional to 120,990.64, 181,522.80 and 61,867.84

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Solution

The fourth proportional to 120,990.64, 181,522.80 and 61,867.84 is: 92,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,990.64 : 181,522.80 = 61,867.84 : x
  2. Step 2: Convert to fraction form
    120,990.64/181,522.80 = 61,867.84/x
  3. Step 3: Cross multiply
    120,990.64x = 181,522.80 × 61,867.84
  4. Step 4: Simplify right side
    120,990.64x = 11,230,423,546.75
  5. Step 5: Solve for x
    x = 11,230,423,546.75/120,990.64
  6. Step 6: Final answer
    x = 92,820.60

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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.