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Finding the Fourth Proportional to 77,653.62, 116,486 and 20,727.23

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Solution

The fourth proportional to 77,653.62, 116,486 and 20,727.23 is: 31,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653.62 : 116,486 = 20,727.23 : x
  2. Step 2: Convert to fraction form
    77,653.62/116,486 = 20,727.23/x
  3. Step 3: Cross multiply
    77,653.62x = 116,486 × 20,727.23
  4. Step 4: Simplify right side
    77,653.62x = 2,414,431,531.35
  5. Step 5: Solve for x
    x = 2,414,431,531.35/77,653.62
  6. Step 6: Final answer
    x = 31,092.32

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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.