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Finding the Fourth Proportional to 128,965.84, 177,990.24 and 72,380.32

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Solution

The fourth proportional to 128,965.84, 177,990.24 and 72,380.32 is: 99,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,965.84 : 177,990.24 = 72,380.32 : x
  2. Step 2: Convert to fraction form
    128,965.84/177,990.24 = 72,380.32/x
  3. Step 3: Cross multiply
    128,965.84x = 177,990.24 × 72,380.32
  4. Step 4: Simplify right side
    128,965.84x = 12,882,990,528.08
  5. Step 5: Solve for x
    x = 12,882,990,528.08/128,965.84
  6. Step 6: Final answer
    x = 99,894.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.