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Finding the Fourth Proportional to 57,479.80, 86,234.06 and 45,678.20

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Solution

The fourth proportional to 57,479.80, 86,234.06 and 45,678.20 is: 68,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,479.80 : 86,234.06 = 45,678.20 : x
  2. Step 2: Convert to fraction form
    57,479.80/86,234.06 = 45,678.20/x
  3. Step 3: Cross multiply
    57,479.80x = 86,234.06 × 45,678.20
  4. Step 4: Simplify right side
    57,479.80x = 3,939,016,639.49
  5. Step 5: Solve for x
    x = 3,939,016,639.49/57,479.80
  6. Step 6: Final answer
    x = 68,528.71

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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.