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Finding the Fourth Proportional to 276,847.70, 415,271.55 and 89,859.20

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Solution

The fourth proportional to 276,847.70, 415,271.55 and 89,859.20 is: 134,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,847.70 : 415,271.55 = 89,859.20 : x
  2. Step 2: Convert to fraction form
    276,847.70/415,271.55 = 89,859.20/x
  3. Step 3: Cross multiply
    276,847.70x = 415,271.55 × 89,859.20
  4. Step 4: Simplify right side
    276,847.70x = 37,315,969,265.76
  5. Step 5: Solve for x
    x = 37,315,969,265.76/276,847.70
  6. Step 6: Final answer
    x = 134,788.80

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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.