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Finding the Fourth Proportional to 80,653.48, 120,980.06 and 21,489.16

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Solution

The fourth proportional to 80,653.48, 120,980.06 and 21,489.16 is: 32,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653.48 : 120,980.06 = 21,489.16 : x
  2. Step 2: Convert to fraction form
    80,653.48/120,980.06 = 21,489.16/x
  3. Step 3: Cross multiply
    80,653.48x = 120,980.06 × 21,489.16
  4. Step 4: Simplify right side
    80,653.48x = 2,599,759,866.15
  5. Step 5: Solve for x
    x = 2,599,759,866.15/80,653.48
  6. Step 6: Final answer
    x = 32,233.70

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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.