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Finding the Fourth Proportional to 218,457.64, 327,721.02 and 78,213.16

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Solution

The fourth proportional to 218,457.64, 327,721.02 and 78,213.16 is: 117,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,457.64 : 327,721.02 = 78,213.16 : x
  2. Step 2: Convert to fraction form
    218,457.64/327,721.02 = 78,213.16/x
  3. Step 3: Cross multiply
    218,457.64x = 327,721.02 × 78,213.16
  4. Step 4: Simplify right side
    218,457.64x = 25,632,096,572.62
  5. Step 5: Solve for x
    x = 25,632,096,572.62/218,457.64
  6. Step 6: Final answer
    x = 117,332.11

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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.