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Finding the Fourth Proportional to 324,105.60, 486,135.36 and 87,461.76

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Solution

The fourth proportional to 324,105.60, 486,135.36 and 87,461.76 is: 131,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,105.60 : 486,135.36 = 87,461.76 : x
  2. Step 2: Convert to fraction form
    324,105.60/486,135.36 = 87,461.76/x
  3. Step 3: Cross multiply
    324,105.60x = 486,135.36 × 87,461.76
  4. Step 4: Simplify right side
    324,105.60x = 42,518,254,183.83
  5. Step 5: Solve for x
    x = 42,518,254,183.83/324,105.60
  6. Step 6: Final answer
    x = 131,186.42

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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.