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Finding the Fourth Proportional to 217,551.76, 326,327.64 and 77,315.92

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Solution

The fourth proportional to 217,551.76, 326,327.64 and 77,315.92 is: 115,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,551.76 : 326,327.64 = 77,315.92 : x
  2. Step 2: Convert to fraction form
    217,551.76/326,327.64 = 77,315.92/x
  3. Step 3: Cross multiply
    217,551.76x = 326,327.64 × 77,315.92
  4. Step 4: Simplify right side
    217,551.76x = 25,230,321,708.03
  5. Step 5: Solve for x
    x = 25,230,321,708.03/217,551.76
  6. Step 6: Final answer
    x = 115,973.88

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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.