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Finding the Fourth Proportional to 213,375.84, 319,953.45 and 78,405.47

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Solution

The fourth proportional to 213,375.84, 319,953.45 and 78,405.47 is: 117,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,375.84 : 319,953.45 = 78,405.47 : x
  2. Step 2: Convert to fraction form
    213,375.84/319,953.45 = 78,405.47/x
  3. Step 3: Cross multiply
    213,375.84x = 319,953.45 × 78,405.47
  4. Step 4: Simplify right side
    213,375.84x = 25,086,099,025.60
  5. Step 5: Solve for x
    x = 25,086,099,025.60/213,375.84
  6. Step 6: Final answer
    x = 117,567.66

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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.