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Finding the Fourth Proportional to 120,354.92, 180,636.06 and 58,077.80

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Solution

The fourth proportional to 120,354.92, 180,636.06 and 58,077.80 is: 87,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.92 : 180,636.06 = 58,077.80 : x
  2. Step 2: Convert to fraction form
    120,354.92/180,636.06 = 58,077.80/x
  3. Step 3: Cross multiply
    120,354.92x = 180,636.06 × 58,077.80
  4. Step 4: Simplify right side
    120,354.92x = 10,490,944,965.47
  5. Step 5: Solve for x
    x = 10,490,944,965.47/120,354.92
  6. Step 6: Final answer
    x = 87,166.73

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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.