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Finding the Fourth Proportional to 54,793.40, 82,287.30 and 42,343.70

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Solution

The fourth proportional to 54,793.40, 82,287.30 and 42,343.70 is: 63,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.40 : 82,287.30 = 42,343.70 : x
  2. Step 2: Convert to fraction form
    54,793.40/82,287.30 = 42,343.70/x
  3. Step 3: Cross multiply
    54,793.40x = 82,287.30 × 42,343.70
  4. Step 4: Simplify right side
    54,793.40x = 3,484,348,745.01
  5. Step 5: Solve for x
    x = 3,484,348,745.01/54,793.40
  6. Step 6: Final answer
    x = 63,590.67

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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.