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Finding the Fourth Proportional to 230,470.50, 345,741.37 and 78,632.03

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Solution

The fourth proportional to 230,470.50, 345,741.37 and 78,632.03 is: 117,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,470.50 : 345,741.37 = 78,632.03 : x
  2. Step 2: Convert to fraction form
    230,470.50/345,741.37 = 78,632.03/x
  3. Step 3: Cross multiply
    230,470.50x = 345,741.37 × 78,632.03
  4. Step 4: Simplify right side
    230,470.50x = 27,186,346,445.85
  5. Step 5: Solve for x
    x = 27,186,346,445.85/230,470.50
  6. Step 6: Final answer
    x = 117,960.20

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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.