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Finding the Fourth Proportional to 215,410.86, 323,162.90 and 65,647.19

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Solution

The fourth proportional to 215,410.86, 323,162.90 and 65,647.19 is: 98,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410.86 : 323,162.90 = 65,647.19 : x
  2. Step 2: Convert to fraction form
    215,410.86/323,162.90 = 65,647.19/x
  3. Step 3: Cross multiply
    215,410.86x = 323,162.90 × 65,647.19
  4. Step 4: Simplify right side
    215,410.86x = 21,214,734,353.20
  5. Step 5: Solve for x
    x = 21,214,734,353.20/215,410.86
  6. Step 6: Final answer
    x = 98,484.98

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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.