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Finding the Fourth Proportional to 213,664.60, 320,654.40 and 101,344.42

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Solution

The fourth proportional to 213,664.60, 320,654.40 and 101,344.42 is: 152,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,664.60 : 320,654.40 = 101,344.42 : x
  2. Step 2: Convert to fraction form
    213,664.60/320,654.40 = 101,344.42/x
  3. Step 3: Cross multiply
    213,664.60x = 320,654.40 × 101,344.42
  4. Step 4: Simplify right side
    213,664.60x = 32,496,534,188.45
  5. Step 5: Solve for x
    x = 32,496,534,188.45/213,664.60
  6. Step 6: Final answer
    x = 152,091.33

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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.