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Finding the Fourth Proportional to 312,107.34, 468,188.69 and 87,470.49

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Solution

The fourth proportional to 312,107.34, 468,188.69 and 87,470.49 is: 131,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,107.34 : 468,188.69 = 87,470.49 : x
  2. Step 2: Convert to fraction form
    312,107.34/468,188.69 = 87,470.49/x
  3. Step 3: Cross multiply
    312,107.34x = 468,188.69 × 87,470.49
  4. Step 4: Simplify right side
    312,107.34x = 40,952,693,448.26
  5. Step 5: Solve for x
    x = 40,952,693,448.26/312,107.34
  6. Step 6: Final answer
    x = 131,213.49

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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.