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Finding the Fourth Proportional to 64,224.60, 96,346.12 and 19,854.81

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Solution

The fourth proportional to 64,224.60, 96,346.12 and 19,854.81 is: 29,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,224.60 : 96,346.12 = 19,854.81 : x
  2. Step 2: Convert to fraction form
    64,224.60/96,346.12 = 19,854.81/x
  3. Step 3: Cross multiply
    64,224.60x = 96,346.12 × 19,854.81
  4. Step 4: Simplify right side
    64,224.60x = 1,912,933,786.86
  5. Step 5: Solve for x
    x = 1,912,933,786.86/64,224.60
  6. Step 6: Final answer
    x = 29,785.07

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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.