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Finding the Fourth Proportional to 51,496.75, 77,245.59 and 20,332

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Solution

The fourth proportional to 51,496.75, 77,245.59 and 20,332 is: 30,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,496.75 : 77,245.59 = 20,332 : x
  2. Step 2: Convert to fraction form
    51,496.75/77,245.59 = 20,332/x
  3. Step 3: Cross multiply
    51,496.75x = 77,245.59 × 20,332
  4. Step 4: Simplify right side
    51,496.75x = 1,570,557,335.88
  5. Step 5: Solve for x
    x = 1,570,557,335.88/51,496.75
  6. Step 6: Final answer
    x = 30,498.18

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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.