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Finding the Fourth Proportional to 120,290.96, 180,434.54 and 41,405.87

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Solution

The fourth proportional to 120,290.96, 180,434.54 and 41,405.87 is: 62,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,290.96 : 180,434.54 = 41,405.87 : x
  2. Step 2: Convert to fraction form
    120,290.96/180,434.54 = 41,405.87/x
  3. Step 3: Cross multiply
    120,290.96x = 180,434.54 × 41,405.87
  4. Step 4: Simplify right side
    120,290.96x = 7,471,047,997.55
  5. Step 5: Solve for x
    x = 7,471,047,997.55/120,290.96
  6. Step 6: Final answer
    x = 62,108.14

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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.