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Finding the Fourth Proportional to 57,230.76, 85,869.76 and 30,904.50

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Solution

The fourth proportional to 57,230.76, 85,869.76 and 30,904.50 is: 46,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.76 : 85,869.76 = 30,904.50 : x
  2. Step 2: Convert to fraction form
    57,230.76/85,869.76 = 30,904.50/x
  3. Step 3: Cross multiply
    57,230.76x = 85,869.76 × 30,904.50
  4. Step 4: Simplify right side
    57,230.76x = 2,653,761,997.92
  5. Step 5: Solve for x
    x = 2,653,761,997.92/57,230.76
  6. Step 6: Final answer
    x = 46,369.50

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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.