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Finding the Fourth Proportional to 217,406.80, 326,142.60 and 77,153.68

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Solution

The fourth proportional to 217,406.80, 326,142.60 and 77,153.68 is: 115,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,406.80 : 326,142.60 = 77,153.68 : x
  2. Step 2: Convert to fraction form
    217,406.80/326,142.60 = 77,153.68/x
  3. Step 3: Cross multiply
    217,406.80x = 326,142.60 × 77,153.68
  4. Step 4: Simplify right side
    217,406.80x = 25,163,101,794.77
  5. Step 5: Solve for x
    x = 25,163,101,794.77/217,406.80
  6. Step 6: Final answer
    x = 115,742.02

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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.