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Finding the Fourth Proportional to 120,499.70, 180,749.55 and 97,171.70

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Solution

The fourth proportional to 120,499.70, 180,749.55 and 97,171.70 is: 145,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,499.70 : 180,749.55 = 97,171.70 : x
  2. Step 2: Convert to fraction form
    120,499.70/180,749.55 = 97,171.70/x
  3. Step 3: Cross multiply
    120,499.70x = 180,749.55 × 97,171.70
  4. Step 4: Simplify right side
    120,499.70x = 17,563,741,047.74
  5. Step 5: Solve for x
    x = 17,563,741,047.74/120,499.70
  6. Step 6: Final answer
    x = 145,757.55

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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.