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Finding the Fourth Proportional to 218,971.39, 328,311.16 and 78,711.79

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Solution

The fourth proportional to 218,971.39, 328,311.16 and 78,711.79 is: 118,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.39 : 328,311.16 = 78,711.79 : x
  2. Step 2: Convert to fraction form
    218,971.39/328,311.16 = 78,711.79/x
  3. Step 3: Cross multiply
    218,971.39x = 328,311.16 × 78,711.79
  4. Step 4: Simplify right side
    218,971.39x = 25,841,959,080.58
  5. Step 5: Solve for x
    x = 25,841,959,080.58/218,971.39
  6. Step 6: Final answer
    x = 118,015.23

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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.