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Finding the Fourth Proportional to 120,553.17, 180,805.05 and 45,647.48

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Solution

The fourth proportional to 120,553.17, 180,805.05 and 45,647.48 is: 68,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,553.17 : 180,805.05 = 45,647.48 : x
  2. Step 2: Convert to fraction form
    120,553.17/180,805.05 = 45,647.48/x
  3. Step 3: Cross multiply
    120,553.17x = 180,805.05 × 45,647.48
  4. Step 4: Simplify right side
    120,553.17x = 8,253,293,999.75
  5. Step 5: Solve for x
    x = 8,253,293,999.75/120,553.17
  6. Step 6: Final answer
    x = 68,461.86

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1.5x scale

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.