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Finding the Fourth Proportional to 114,366, 157,879.80 and 76,189.50

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Solution

The fourth proportional to 114,366, 157,879.80 and 76,189.50 is: 105,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,366 : 157,879.80 = 76,189.50 : x
  2. Step 2: Convert to fraction form
    114,366/157,879.80 = 76,189.50/x
  3. Step 3: Cross multiply
    114,366x = 157,879.80 × 76,189.50
  4. Step 4: Simplify right side
    114,366x = 12,028,783,022.10
  5. Step 5: Solve for x
    x = 12,028,783,022.10/114,366
  6. Step 6: Final answer
    x = 105,177.96

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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.