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Finding the Fourth Proportional to 120,982.64, 181,510.80 and 61,859.84

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Solution

The fourth proportional to 120,982.64, 181,510.80 and 61,859.84 is: 92,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,982.64 : 181,510.80 = 61,859.84 : x
  2. Step 2: Convert to fraction form
    120,982.64/181,510.80 = 61,859.84/x
  3. Step 3: Cross multiply
    120,982.64x = 181,510.80 × 61,859.84
  4. Step 4: Simplify right side
    120,982.64x = 11,228,229,046.27
  5. Step 5: Solve for x
    x = 11,228,229,046.27/120,982.64
  6. Step 6: Final answer
    x = 92,808.60

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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.