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Finding the Fourth Proportional to 188,282, 282,539.72 and 109,433.36

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Solution

The fourth proportional to 188,282, 282,539.72 and 109,433.36 is: 164,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282 : 282,539.72 = 109,433.36 : x
  2. Step 2: Convert to fraction form
    188,282/282,539.72 = 109,433.36/x
  3. Step 3: Cross multiply
    188,282x = 282,539.72 × 109,433.36
  4. Step 4: Simplify right side
    188,282x = 30,919,270,893.06
  5. Step 5: Solve for x
    x = 30,919,270,893.06/188,282
  6. Step 6: Final answer
    x = 164,217.88

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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.