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Finding the Fourth Proportional to 107,288.40, 160,932.60 and 82,405.20

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Solution

The fourth proportional to 107,288.40, 160,932.60 and 82,405.20 is: 123,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,288.40 : 160,932.60 = 82,405.20 : x
  2. Step 2: Convert to fraction form
    107,288.40/160,932.60 = 82,405.20/x
  3. Step 3: Cross multiply
    107,288.40x = 160,932.60 × 82,405.20
  4. Step 4: Simplify right side
    107,288.40x = 13,261,683,089.52
  5. Step 5: Solve for x
    x = 13,261,683,089.52/107,288.40
  6. Step 6: Final answer
    x = 123,607.80

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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.