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Finding the Fourth Proportional to 218,337.60, 327,308.40 and 78,063.60

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Solution

The fourth proportional to 218,337.60, 327,308.40 and 78,063.60 is: 117,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,337.60 : 327,308.40 = 78,063.60 : x
  2. Step 2: Convert to fraction form
    218,337.60/327,308.40 = 78,063.60/x
  3. Step 3: Cross multiply
    218,337.60x = 327,308.40 × 78,063.60
  4. Step 4: Simplify right side
    218,337.60x = 25,550,872,014.24
  5. Step 5: Solve for x
    x = 25,550,872,014.24/218,337.60
  6. Step 6: Final answer
    x = 117,024.61

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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.