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Finding the Fourth Proportional to 120,058.40, 180,111.72 and 35,819.84

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Solution

The fourth proportional to 120,058.40, 180,111.72 and 35,819.84 is: 53,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058.40 : 180,111.72 = 35,819.84 : x
  2. Step 2: Convert to fraction form
    120,058.40/180,111.72 = 35,819.84/x
  3. Step 3: Cross multiply
    120,058.40x = 180,111.72 × 35,819.84
  4. Step 4: Simplify right side
    120,058.40x = 6,451,572,992.52
  5. Step 5: Solve for x
    x = 6,451,572,992.52/120,058.40
  6. Step 6: Final answer
    x = 53,736.96

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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.