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Finding the Fourth Proportional to 120,010, 165,613.80 and 67,018

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Solution

The fourth proportional to 120,010, 165,613.80 and 67,018 is: 92,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,010 : 165,613.80 = 67,018 : x
  2. Step 2: Convert to fraction form
    120,010/165,613.80 = 67,018/x
  3. Step 3: Cross multiply
    120,010x = 165,613.80 × 67,018
  4. Step 4: Simplify right side
    120,010x = 11,099,105,648.40
  5. Step 5: Solve for x
    x = 11,099,105,648.40/120,010
  6. Step 6: Final answer
    x = 92,484.84

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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.