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Finding the Fourth Proportional to 120,787, 180,983.19 and 73,416.58

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Solution

The fourth proportional to 120,787, 180,983.19 and 73,416.58 is: 110,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787 : 180,983.19 = 73,416.58 : x
  2. Step 2: Convert to fraction form
    120,787/180,983.19 = 73,416.58/x
  3. Step 3: Cross multiply
    120,787x = 180,983.19 × 73,416.58
  4. Step 4: Simplify right side
    120,787x = 13,287,166,847.29
  5. Step 5: Solve for x
    x = 13,287,166,847.29/120,787
  6. Step 6: Final answer
    x = 110,004.94

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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.