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Finding the Fourth Proportional to 218,964.11, 328,300.32 and 78,704.51

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Solution

The fourth proportional to 218,964.11, 328,300.32 and 78,704.51 is: 118,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.11 : 328,300.32 = 78,704.51 : x
  2. Step 2: Convert to fraction form
    218,964.11/328,300.32 = 78,704.51/x
  3. Step 3: Cross multiply
    218,964.11x = 328,300.32 × 78,704.51
  4. Step 4: Simplify right side
    218,964.11x = 25,838,715,818.44
  5. Step 5: Solve for x
    x = 25,838,715,818.44/218,964.11
  6. Step 6: Final answer
    x = 118,004.34

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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.