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Finding the Fourth Proportional to 215,400.63, 323,078.13 and 57,645.03

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Solution

The fourth proportional to 215,400.63, 323,078.13 and 57,645.03 is: 86,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,400.63 : 323,078.13 = 57,645.03 : x
  2. Step 2: Convert to fraction form
    215,400.63/323,078.13 = 57,645.03/x
  3. Step 3: Cross multiply
    215,400.63x = 323,078.13 × 57,645.03
  4. Step 4: Simplify right side
    215,400.63x = 18,623,848,496.19
  5. Step 5: Solve for x
    x = 18,623,848,496.19/215,400.63
  6. Step 6: Final answer
    x = 86,461.44

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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.