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Finding the Fourth Proportional to 77,784.88, 116,677.31 and 22,380.88

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Solution

The fourth proportional to 77,784.88, 116,677.31 and 22,380.88 is: 33,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.88 : 116,677.31 = 22,380.88 : x
  2. Step 2: Convert to fraction form
    77,784.88/116,677.31 = 22,380.88/x
  3. Step 3: Cross multiply
    77,784.88x = 116,677.31 × 22,380.88
  4. Step 4: Simplify right side
    77,784.88x = 2,611,340,873.83
  5. Step 5: Solve for x
    x = 2,611,340,873.83/77,784.88
  6. Step 6: Final answer
    x = 33,571.32

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1.5x scale

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.