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Finding the Fourth Proportional to 213,336.52, 319,991.74 and 88,678.60

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Solution

The fourth proportional to 213,336.52, 319,991.74 and 88,678.60 is: 133,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,336.52 : 319,991.74 = 88,678.60 : x
  2. Step 2: Convert to fraction form
    213,336.52/319,991.74 = 88,678.60/x
  3. Step 3: Cross multiply
    213,336.52x = 319,991.74 × 88,678.60
  4. Step 4: Simplify right side
    213,336.52x = 28,376,419,514.76
  5. Step 5: Solve for x
    x = 28,376,419,514.76/213,336.52
  6. Step 6: Final answer
    x = 133,012.48

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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.