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Finding the Fourth Proportional to 228,578.98, 342,891.02 and 78,799.55

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Solution

The fourth proportional to 228,578.98, 342,891.02 and 78,799.55 is: 118,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,578.98 : 342,891.02 = 78,799.55 : x
  2. Step 2: Convert to fraction form
    228,578.98/342,891.02 = 78,799.55/x
  3. Step 3: Cross multiply
    228,578.98x = 342,891.02 × 78,799.55
  4. Step 4: Simplify right side
    228,578.98x = 27,019,658,075.04
  5. Step 5: Solve for x
    x = 27,019,658,075.04/228,578.98
  6. Step 6: Final answer
    x = 118,207.10

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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.