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Finding the Fourth Proportional to 228,084.66, 342,041.90 and 78,282.44

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Solution

The fourth proportional to 228,084.66, 342,041.90 and 78,282.44 is: 117,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084.66 : 342,041.90 = 78,282.44 : x
  2. Step 2: Convert to fraction form
    228,084.66/342,041.90 = 78,282.44/x
  3. Step 3: Cross multiply
    228,084.66x = 342,041.90 × 78,282.44
  4. Step 4: Simplify right side
    228,084.66x = 26,775,874,514.24
  5. Step 5: Solve for x
    x = 26,775,874,514.24/228,084.66
  6. Step 6: Final answer
    x = 117,394.46

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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.