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Finding the Fourth Proportional to 120,663, 180,987.12 and 54,085.26

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Solution

The fourth proportional to 120,663, 180,987.12 and 54,085.26 is: 81,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,663 : 180,987.12 = 54,085.26 : x
  2. Step 2: Convert to fraction form
    120,663/180,987.12 = 54,085.26/x
  3. Step 3: Cross multiply
    120,663x = 180,987.12 × 54,085.26
  4. Step 4: Simplify right side
    120,663x = 9,788,735,441.85
  5. Step 5: Solve for x
    x = 9,788,735,441.85/120,663
  6. Step 6: Final answer
    x = 81,124.58

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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.