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Finding the Fourth Proportional to 218,967.60, 327,795.30 and 130,175.40

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Solution

The fourth proportional to 218,967.60, 327,795.30 and 130,175.40 is: 194,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,967.60 : 327,795.30 = 130,175.40 : x
  2. Step 2: Convert to fraction form
    218,967.60/327,795.30 = 130,175.40/x
  3. Step 3: Cross multiply
    218,967.60x = 327,795.30 × 130,175.40
  4. Step 4: Simplify right side
    218,967.60x = 42,670,884,295.62
  5. Step 5: Solve for x
    x = 42,670,884,295.62/218,967.60
  6. Step 6: Final answer
    x = 194,873.05

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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.