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Finding the Fourth Proportional to 272,847.60, 409,271.40 and 85,834.80

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Solution

The fourth proportional to 272,847.60, 409,271.40 and 85,834.80 is: 128,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847.60 : 409,271.40 = 85,834.80 : x
  2. Step 2: Convert to fraction form
    272,847.60/409,271.40 = 85,834.80/x
  3. Step 3: Cross multiply
    272,847.60x = 409,271.40 × 85,834.80
  4. Step 4: Simplify right side
    272,847.60x = 35,129,728,764.72
  5. Step 5: Solve for x
    x = 35,129,728,764.72/272,847.60
  6. Step 6: Final answer
    x = 128,752.20

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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.