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Finding the Fourth Proportional to 188,214.30, 282,357.60 and 75,905.88

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Solution

The fourth proportional to 188,214.30, 282,357.60 and 75,905.88 is: 113,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214.30 : 282,357.60 = 75,905.88 : x
  2. Step 2: Convert to fraction form
    188,214.30/282,357.60 = 75,905.88/x
  3. Step 3: Cross multiply
    188,214.30x = 282,357.60 × 75,905.88
  4. Step 4: Simplify right side
    188,214.30x = 21,432,602,102.69
  5. Step 5: Solve for x
    x = 21,432,602,102.69/188,214.30
  6. Step 6: Final answer
    x = 113,873.40

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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.