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Finding the Fourth Proportional to 188,212.79, 282,355.37 and 75,904.38

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Solution

The fourth proportional to 188,212.79, 282,355.37 and 75,904.38 is: 113,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.79 : 282,355.37 = 75,904.38 : x
  2. Step 2: Convert to fraction form
    188,212.79/282,355.37 = 75,904.38/x
  3. Step 3: Cross multiply
    188,212.79x = 282,355.37 × 75,904.38
  4. Step 4: Simplify right side
    188,212.79x = 21,432,008,920.00
  5. Step 5: Solve for x
    x = 21,432,008,920.00/188,212.79
  6. Step 6: Final answer
    x = 113,871.16

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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.