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Finding the Fourth Proportional to 217,408.80, 326,145.60 and 77,155.68

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Solution

The fourth proportional to 217,408.80, 326,145.60 and 77,155.68 is: 115,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408.80 : 326,145.60 = 77,155.68 : x
  2. Step 2: Convert to fraction form
    217,408.80/326,145.60 = 77,155.68/x
  3. Step 3: Cross multiply
    217,408.80x = 326,145.60 × 77,155.68
  4. Step 4: Simplify right side
    217,408.80x = 25,163,985,547.01
  5. Step 5: Solve for x
    x = 25,163,985,547.01/217,408.80
  6. Step 6: Final answer
    x = 115,745.02

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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.