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Finding the Fourth Proportional to 213,052.48, 319,609.44 and 65,320

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Solution

The fourth proportional to 213,052.48, 319,609.44 and 65,320 is: 97,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,052.48 : 319,609.44 = 65,320 : x
  2. Step 2: Convert to fraction form
    213,052.48/319,609.44 = 65,320/x
  3. Step 3: Cross multiply
    213,052.48x = 319,609.44 × 65,320
  4. Step 4: Simplify right side
    213,052.48x = 20,876,888,620.80
  5. Step 5: Solve for x
    x = 20,876,888,620.80/213,052.48
  6. Step 6: Final answer
    x = 97,989.42

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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.