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Finding the Fourth Proportional to 83,980.88, 125,973.74 and 21,651.38

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Solution

The fourth proportional to 83,980.88, 125,973.74 and 21,651.38 is: 32,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.88 : 125,973.74 = 21,651.38 : x
  2. Step 2: Convert to fraction form
    83,980.88/125,973.74 = 21,651.38/x
  3. Step 3: Cross multiply
    83,980.88x = 125,973.74 × 21,651.38
  4. Step 4: Simplify right side
    83,980.88x = 2,727,504,739.02
  5. Step 5: Solve for x
    x = 2,727,504,739.02/83,980.88
  6. Step 6: Final answer
    x = 32,477.69

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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.