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Finding the Fourth Proportional to 77,371, 116,063.25 and 21,967

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Solution

The fourth proportional to 77,371, 116,063.25 and 21,967 is: 32,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371 : 116,063.25 = 21,967 : x
  2. Step 2: Convert to fraction form
    77,371/116,063.25 = 21,967/x
  3. Step 3: Cross multiply
    77,371x = 116,063.25 × 21,967
  4. Step 4: Simplify right side
    77,371x = 2,549,561,412.75
  5. Step 5: Solve for x
    x = 2,549,561,412.75/77,371
  6. Step 6: Final answer
    x = 32,952.42

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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.