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Finding the Fourth Proportional to 85,825.91, 128,572.81 and 48,271.88

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Solution

The fourth proportional to 85,825.91, 128,572.81 and 48,271.88 is: 72,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825.91 : 128,572.81 = 48,271.88 : x
  2. Step 2: Convert to fraction form
    85,825.91/128,572.81 = 48,271.88/x
  3. Step 3: Cross multiply
    85,825.91x = 128,572.81 × 48,271.88
  4. Step 4: Simplify right side
    85,825.91x = 6,206,451,456.34
  5. Step 5: Solve for x
    x = 6,206,451,456.34/85,825.91
  6. Step 6: Final answer
    x = 72,314.42

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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.