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Finding the Fourth Proportional to 120,415.60, 180,623.40 and 73,176.40

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Solution

The fourth proportional to 120,415.60, 180,623.40 and 73,176.40 is: 109,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,415.60 : 180,623.40 = 73,176.40 : x
  2. Step 2: Convert to fraction form
    120,415.60/180,623.40 = 73,176.40/x
  3. Step 3: Cross multiply
    120,415.60x = 180,623.40 × 73,176.40
  4. Step 4: Simplify right side
    120,415.60x = 13,217,370,167.76
  5. Step 5: Solve for x
    x = 13,217,370,167.76/120,415.60
  6. Step 6: Final answer
    x = 109,764.60

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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.