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Finding the Fourth Proportional to 276,730.80, 415,096.20 and 89,742.30

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Solution

The fourth proportional to 276,730.80, 415,096.20 and 89,742.30 is: 134,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,730.80 : 415,096.20 = 89,742.30 : x
  2. Step 2: Convert to fraction form
    276,730.80/415,096.20 = 89,742.30/x
  3. Step 3: Cross multiply
    276,730.80x = 415,096.20 × 89,742.30
  4. Step 4: Simplify right side
    276,730.80x = 37,251,687,709.26
  5. Step 5: Solve for x
    x = 37,251,687,709.26/276,730.80
  6. Step 6: Final answer
    x = 134,613.45

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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.