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Finding the Fourth Proportional to 218,988.66, 302,181.69 and 161,658.42

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Solution

The fourth proportional to 218,988.66, 302,181.69 and 161,658.42 is: 223,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,988.66 : 302,181.69 = 161,658.42 : x
  2. Step 2: Convert to fraction form
    218,988.66/302,181.69 = 161,658.42/x
  3. Step 3: Cross multiply
    218,988.66x = 302,181.69 × 161,658.42
  4. Step 4: Simplify right side
    218,988.66x = 48,850,214,558.33
  5. Step 5: Solve for x
    x = 48,850,214,558.33/218,988.66
  6. Step 6: Final answer
    x = 223,071.89

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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.