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Finding the Fourth Proportional to 77,492.20, 116,222.99 and 21,317.82

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Solution

The fourth proportional to 77,492.20, 116,222.99 and 21,317.82 is: 31,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492.20 : 116,222.99 = 21,317.82 : x
  2. Step 2: Convert to fraction form
    77,492.20/116,222.99 = 21,317.82/x
  3. Step 3: Cross multiply
    77,492.20x = 116,222.99 × 21,317.82
  4. Step 4: Simplify right side
    77,492.20x = 2,477,620,780.68
  5. Step 5: Solve for x
    x = 2,477,620,780.68/77,492.20
  6. Step 6: Final answer
    x = 31,972.52

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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.