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Finding the Fourth Proportional to 64,102.60, 96,133.38 and 21,398.86

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Solution

The fourth proportional to 64,102.60, 96,133.38 and 21,398.86 is: 32,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,102.60 : 96,133.38 = 21,398.86 : x
  2. Step 2: Convert to fraction form
    64,102.60/96,133.38 = 21,398.86/x
  3. Step 3: Cross multiply
    64,102.60x = 96,133.38 × 21,398.86
  4. Step 4: Simplify right side
    64,102.60x = 2,057,144,739.95
  5. Step 5: Solve for x
    x = 2,057,144,739.95/64,102.60
  6. Step 6: Final answer
    x = 32,091.44

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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.