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Finding the Fourth Proportional to 272,704.20, 409,056.30 and 123,113.40

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Solution

The fourth proportional to 272,704.20, 409,056.30 and 123,113.40 is: 184,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,704.20 : 409,056.30 = 123,113.40 : x
  2. Step 2: Convert to fraction form
    272,704.20/409,056.30 = 123,113.40/x
  3. Step 3: Cross multiply
    272,704.20x = 409,056.30 × 123,113.40
  4. Step 4: Simplify right side
    272,704.20x = 50,360,311,884.42
  5. Step 5: Solve for x
    x = 50,360,311,884.42/272,704.20
  6. Step 6: Final answer
    x = 184,670.10

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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.