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Finding the Fourth Proportional to 213,316.64, 319,493.80 and 165,550.12

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Solution

The fourth proportional to 213,316.64, 319,493.80 and 165,550.12 is: 247,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,316.64 : 319,493.80 = 165,550.12 : x
  2. Step 2: Convert to fraction form
    213,316.64/319,493.80 = 165,550.12/x
  3. Step 3: Cross multiply
    213,316.64x = 319,493.80 × 165,550.12
  4. Step 4: Simplify right side
    213,316.64x = 52,892,236,929.26
  5. Step 5: Solve for x
    x = 52,892,236,929.26/213,316.64
  6. Step 6: Final answer
    x = 247,951.76

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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.