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Finding the Fourth Proportional to 136,898.52, 188,914.32 and 76,468.92

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Solution

The fourth proportional to 136,898.52, 188,914.32 and 76,468.92 is: 105,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,898.52 : 188,914.32 = 76,468.92 : x
  2. Step 2: Convert to fraction form
    136,898.52/188,914.32 = 76,468.92/x
  3. Step 3: Cross multiply
    136,898.52x = 188,914.32 × 76,468.92
  4. Step 4: Simplify right side
    136,898.52x = 14,446,074,022.93
  5. Step 5: Solve for x
    x = 14,446,074,022.93/136,898.52
  6. Step 6: Final answer
    x = 105,523.96

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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.