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Finding the Fourth Proportional to 120,098.87, 180,087.10 and 40,108.05

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Solution

The fourth proportional to 120,098.87, 180,087.10 and 40,108.05 is: 60,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.87 : 180,087.10 = 40,108.05 : x
  2. Step 2: Convert to fraction form
    120,098.87/180,087.10 = 40,108.05/x
  3. Step 3: Cross multiply
    120,098.87x = 180,087.10 × 40,108.05
  4. Step 4: Simplify right side
    120,098.87x = 7,222,942,411.16
  5. Step 5: Solve for x
    x = 7,222,942,411.16/120,098.87
  6. Step 6: Final answer
    x = 60,141.64

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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.