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Finding the Fourth Proportional to 80,653.53, 120,980.03 and 20,681.94

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Solution

The fourth proportional to 80,653.53, 120,980.03 and 20,681.94 is: 31,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653.53 : 120,980.03 = 20,681.94 : x
  2. Step 2: Convert to fraction form
    80,653.53/120,980.03 = 20,681.94/x
  3. Step 3: Cross multiply
    80,653.53x = 120,980.03 × 20,681.94
  4. Step 4: Simplify right side
    80,653.53x = 2,502,101,618.25
  5. Step 5: Solve for x
    x = 2,502,101,618.25/80,653.53
  6. Step 6: Final answer
    x = 31,022.84

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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.