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Finding the Fourth Proportional to 120,157.50, 180,246.50 and 31,410.86

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Solution

The fourth proportional to 120,157.50, 180,246.50 and 31,410.86 is: 47,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.50 : 180,246.50 = 31,410.86 : x
  2. Step 2: Convert to fraction form
    120,157.50/180,246.50 = 31,410.86/x
  3. Step 3: Cross multiply
    120,157.50x = 180,246.50 × 31,410.86
  4. Step 4: Simplify right side
    120,157.50x = 5,661,697,576.99
  5. Step 5: Solve for x
    x = 5,661,697,576.99/120,157.50
  6. Step 6: Final answer
    x = 47,118.97

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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.