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Finding the Fourth Proportional to 218,978.10, 302,167.20 and 161,647.92

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Solution

The fourth proportional to 218,978.10, 302,167.20 and 161,647.92 is: 223,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,978.10 : 302,167.20 = 161,647.92 : x
  2. Step 2: Convert to fraction form
    218,978.10/302,167.20 = 161,647.92/x
  3. Step 3: Cross multiply
    218,978.10x = 302,167.20 × 161,647.92
  4. Step 4: Simplify right side
    218,978.10x = 48,844,699,372.22
  5. Step 5: Solve for x
    x = 48,844,699,372.22/218,978.10
  6. Step 6: Final answer
    x = 223,057.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.