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Finding the Fourth Proportional to 188,199.17, 282,311.78 and 75,880.40

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Solution

The fourth proportional to 188,199.17, 282,311.78 and 75,880.40 is: 113,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,199.17 : 282,311.78 = 75,880.40 : x
  2. Step 2: Convert to fraction form
    188,199.17/282,311.78 = 75,880.40/x
  3. Step 3: Cross multiply
    188,199.17x = 282,311.78 × 75,880.40
  4. Step 4: Simplify right side
    188,199.17x = 21,421,929,426.98
  5. Step 5: Solve for x
    x = 21,421,929,426.98/188,199.17
  6. Step 6: Final answer
    x = 113,825.84

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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.